(3x-2)/4=2x-8
Please Show your Work

Step 1: Simplify both sides of the equation.
3
x
−
2
4
=
2
x
−
8
3
4
x
+
−
1
2
=
2
x
+
−
8
(Distribute)
3
4
x
+
−
1
2
=
2
x
−
8
Step 2: Subtract 2x from both sides.
3
4
x
+
−
1
2
−
2
x
=
2
x
−
8
−
2
x
−
5
4
x
+
−
1
2
=
−
8
Step 3: Add 1/2 to both sides.
−
5
4
x
+
−
1
2
+
1
2
=
−
8
+
1
2
−
5
4
x
=
−
15
2
Step 4: Multiply both sides by 4/(-5).
(
4
−
5
)
*
(
−
5
4
x
)
=
(
4
−
5
)
*
(
−
15
2
)

X=6