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

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

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

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

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

Solving
-4 + 4z = 6 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-4 + 4z + -3z = 6 + 3z + -3z

Combine like terms: 4z + -3z = 1z
-4 + 1z = 6 + 3z + -3z

Combine like terms: 3z + -3z = 0
-4 + 1z = 6 + 0
-4 + 1z = 6

Add '4' to each side of the equation.
-4 + 4 + 1z = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 1z = 6 + 4
1z = 6 + 4

Combine like terms: 6 + 4 = 10
1z = 10

Divide each side by '1'.
z = 10

Simplifying
z = 10