4
(
x
−
2
)
=
2
(
x
−
4
)
+
2
x
Step 1: Simplify both sides of the equation.
4
(
x
−
2
)
=
2
(
x
−
4
)
+
2
x
(
4
)
(
x
)
+
(
4
)
(
−
2
)
=
(
2
)
(
x
)
+
(
2
)
(
−
4
)
+
2
x
(Distribute)
4
x
+
−
8
=
2
x
+
−
8
+
2
x
4
x
−
8
=
(
2
x
+
2
x
)
+
(
−
8
)
(Combine Like Terms)
4
x
−
8
=
4
x
+
−
8
4
x
−
8
=
4
x
−
8
Step 2: Subtract 4x from both sides.
4
x
−
8
−
4
x
=
4
x
−
8
−
4
x
−
8
=
−
8
Step 3: Add 8 to both sides.
−
8
+
8
=
−
8
+
8
0
=
0