8-2(z-1)=-3(2z+2)

Solution for 8-2(z-1)=-3(2z+2) equation:

Simplifying
8 + -2(z + -1) = -3(2z + 2)

Reorder the terms:
8 + -2(-1 + z) = -3(2z + 2)
8 + (-1 * -2 + z * -2) = -3(2z + 2)
8 + (2 + -2z) = -3(2z + 2)

Combine like terms: 8 + 2 = 10
10 + -2z = -3(2z + 2)

Reorder the terms:
10 + -2z = -3(2 + 2z)
10 + -2z = (2 * -3 + 2z * -3)
10 + -2z = (-6 + -6z)

Solving
10 + -2z = -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.
10 + -2z + 6z = -6 + -6z + 6z

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

Combine like terms: -6z + 6z = 0
10 + 4z = -6 + 0
10 + 4z = -6

Add '-10' to each side of the equation.
10 + -10 + 4z = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 4z = -6 + -10
4z = -6 + -10

Combine like terms: -6 + -10 = -16
4z = -16

Divide each side by '4'.
z = -4

Simplifying
z = -4