-2(4z+2)=3(-2z+2)

Solution for -2(4z+2)=3(-2z+2) equation:

Simplifying
-2(4z + 2) = 3(-2z + 2)

Reorder the terms:
-2(2 + 4z) = 3(-2z + 2)
(2 * -2 + 4z * -2) = 3(-2z + 2)
(-4 + -8z) = 3(-2z + 2)

Reorder the terms:
-4 + -8z = 3(2 + -2z)
-4 + -8z = (2 * 3 + -2z * 3)
-4 + -8z = (6 + -6z)

Solving
-4 + -8z = 6 + -6z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '6z' to each side of the equation.
-4 + -8z + 6z = 6 + -6z + 6z

Combine like terms: -8z + 6z = -2z
-4 + -2z = 6 + -6z + 6z

Combine like terms: -6z + 6z = 0
-4 + -2z = 6 + 0
-4 + -2z = 6

Add '4' to each side of the equation.
-4 + 4 + -2z = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -2z = 6 + 4
-2z = 6 + 4

Combine like terms: 6 + 4 = 10
-2z = 10

Divide each side by '-2'.
z = -5

Simplifying
z = -5