diff --git a/Lib/decimal.py b/Lib/decimal.py
index 7384d3692f8..be1a82783fd 100644
--- a/Lib/decimal.py
+++ b/Lib/decimal.py
@@ -2723,6 +2723,8 @@ class Decimal(object):
         value. Note that a total ordering is defined for all possible abstract
         representations.
         """
+        other = _convert_other(other, raiseit=True)
+
         # if one is negative and the other is positive, it's easy
         if self._sign and not other._sign:
             return _NegativeOne
@@ -2792,6 +2794,8 @@ class Decimal(object):
 
         Like compare_total, but with operand's sign ignored and assumed to be 0.
         """
+        other = _convert_other(other, raiseit=True)
+
         s = self.copy_abs()
         o = other.copy_abs()
         return s.compare_total(o)
@@ -3160,6 +3164,9 @@ class Decimal(object):
         """Applies an 'and' operation between self and other's digits."""
         if context is None:
             context = getcontext()
+
+        other = _convert_other(other, raiseit=True)
+
         if not self._islogical() or not other._islogical():
             return context._raise_error(InvalidOperation)
 
@@ -3181,6 +3188,9 @@ class Decimal(object):
         """Applies an 'or' operation between self and other's digits."""
         if context is None:
             context = getcontext()
+
+        other = _convert_other(other, raiseit=True)
+
         if not self._islogical() or not other._islogical():
             return context._raise_error(InvalidOperation)
 
@@ -3195,6 +3205,9 @@ class Decimal(object):
         """Applies an 'xor' operation between self and other's digits."""
         if context is None:
             context = getcontext()
+
+        other = _convert_other(other, raiseit=True)
+
         if not self._islogical() or not other._islogical():
             return context._raise_error(InvalidOperation)
 
@@ -3408,6 +3421,8 @@ class Decimal(object):
         if context is None:
             context = getcontext()
 
+        other = _convert_other(other, raiseit=True)
+
         ans = self._check_nans(other, context)
         if ans:
             return ans
@@ -3432,11 +3447,13 @@ class Decimal(object):
         return _dec_from_triple(self._sign,
                                 rotated.lstrip('0') or '0', self._exp)
 
-    def scaleb (self, other, context=None):
+    def scaleb(self, other, context=None):
         """Returns self operand after adding the second value to its exp."""
         if context is None:
             context = getcontext()
 
+        other = _convert_other(other, raiseit=True)
+
         ans = self._check_nans(other, context)
         if ans:
             return ans
@@ -3460,6 +3477,8 @@ class Decimal(object):
         if context is None:
             context = getcontext()
 
+        other = _convert_other(other, raiseit=True)
+
         ans = self._check_nans(other, context)
         if ans:
             return ans
diff --git a/Lib/test/test_decimal.py b/Lib/test/test_decimal.py
index ddc5ac52e6b..69f31a0e54e 100644
--- a/Lib/test/test_decimal.py
+++ b/Lib/test/test_decimal.py
@@ -1476,6 +1476,53 @@ class DecimalUsabilityTest(unittest.TestCase):
         self.assertEqual(str(Decimal(0).sqrt()),
                          str(c.sqrt(Decimal(0))))
 
+    def test_conversions_from_int(self):
+        # Check that methods taking a second Decimal argument will
+        # always accept an integer in place of a Decimal.
+        self.assertEqual(Decimal(4).compare(3),
+                         Decimal(4).compare(Decimal(3)))
+        self.assertEqual(Decimal(4).compare_signal(3),
+                         Decimal(4).compare_signal(Decimal(3)))
+        self.assertEqual(Decimal(4).compare_total(3),
+                         Decimal(4).compare_total(Decimal(3)))
+        self.assertEqual(Decimal(4).compare_total_mag(3),
+                         Decimal(4).compare_total_mag(Decimal(3)))
+        self.assertEqual(Decimal(10101).logical_and(1001),
+                         Decimal(10101).logical_and(Decimal(1001)))
+        self.assertEqual(Decimal(10101).logical_or(1001),
+                         Decimal(10101).logical_or(Decimal(1001)))
+        self.assertEqual(Decimal(10101).logical_xor(1001),
+                         Decimal(10101).logical_xor(Decimal(1001)))
+        self.assertEqual(Decimal(567).max(123),
+                         Decimal(567).max(Decimal(123)))
+        self.assertEqual(Decimal(567).max_mag(123),
+                         Decimal(567).max_mag(Decimal(123)))
+        self.assertEqual(Decimal(567).min(123),
+                         Decimal(567).min(Decimal(123)))
+        self.assertEqual(Decimal(567).min_mag(123),
+                         Decimal(567).min_mag(Decimal(123)))
+        self.assertEqual(Decimal(567).next_toward(123),
+                         Decimal(567).next_toward(Decimal(123)))
+        self.assertEqual(Decimal(1234).quantize(100),
+                         Decimal(1234).quantize(Decimal(100)))
+        self.assertEqual(Decimal(768).remainder_near(1234),
+                         Decimal(768).remainder_near(Decimal(1234)))
+        self.assertEqual(Decimal(123).rotate(1),
+                         Decimal(123).rotate(Decimal(1)))
+        self.assertEqual(Decimal(1234).same_quantum(1000),
+                         Decimal(1234).same_quantum(Decimal(1000)))
+        self.assertEqual(Decimal('9.123').scaleb(-100),
+                         Decimal('9.123').scaleb(Decimal(-100)))
+        self.assertEqual(Decimal(456).shift(-1),
+                         Decimal(456).shift(Decimal(-1)))
+
+        self.assertEqual(Decimal(-12).fma(Decimal(45), 67),
+                         Decimal(-12).fma(Decimal(45), Decimal(67)))
+        self.assertEqual(Decimal(-12).fma(45, 67),
+                         Decimal(-12).fma(Decimal(45), Decimal(67)))
+        self.assertEqual(Decimal(-12).fma(45, Decimal(67)),
+                         Decimal(-12).fma(Decimal(45), Decimal(67)))
+
 
 class DecimalPythonAPItests(unittest.TestCase):
 
diff --git a/Misc/NEWS b/Misc/NEWS
index 2e2f822b12d..50257007e7b 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -427,6 +427,9 @@ Core and Builtins
 Library
 -------
 
+- Issue #7233: Fix a number of two-argument Decimal methods to make sure
+  that they accept an int or long as the second argument.
+
 - Issue #4750: Store the basename of the original filename in the gzip FNAME
   header as required by RFC 1952.