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

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

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

Reorder the terms:
8(2 + z) + -3(z + -1) = 2(z + -1) + 2(z + -1)
(2 * 8 + z * 8) + -3(z + -1) = 2(z + -1) + 2(z + -1)
(16 + 8z) + -3(z + -1) = 2(z + -1) + 2(z + -1)

Reorder the terms:
16 + 8z + -3(-1 + z) = 2(z + -1) + 2(z + -1)
16 + 8z + (-1 * -3 + z * -3) = 2(z + -1) + 2(z + -1)
16 + 8z + (3 + -3z) = 2(z + -1) + 2(z + -1)

Reorder the terms:
16 + 3 + 8z + -3z = 2(z + -1) + 2(z + -1)

Combine like terms: 16 + 3 = 19
19 + 8z + -3z = 2(z + -1) + 2(z + -1)

Combine like terms: 8z + -3z = 5z
19 + 5z = 2(z + -1) + 2(z + -1)

Reorder the terms:
19 + 5z = 2(-1 + z) + 2(z + -1)
19 + 5z = (-1 * 2 + z * 2) + 2(z + -1)
19 + 5z = (-2 + 2z) + 2(z + -1)

Reorder the terms:
19 + 5z = -2 + 2z + 2(-1 + z)
19 + 5z = -2 + 2z + (-1 * 2 + z * 2)
19 + 5z = -2 + 2z + (-2 + 2z)

Reorder the terms:
19 + 5z = -2 + -2 + 2z + 2z

Combine like terms: -2 + -2 = -4
19 + 5z = -4 + 2z + 2z

Combine like terms: 2z + 2z = 4z
19 + 5z = -4 + 4z

Solving
19 + 5z = -4 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
19 + 5z + -4z = -4 + 4z + -4z

Combine like terms: 5z + -4z = 1z
19 + 1z = -4 + 4z + -4z

Combine like terms: 4z + -4z = 0
19 + 1z = -4 + 0
19 + 1z = -4

Add '-19' to each side of the equation.
19 + -19 + 1z = -4 + -19

Combine like terms: 19 + -19 = 0
0 + 1z = -4 + -19
1z = -4 + -19

Combine like terms: -4 + -19 = -23
1z = -23

Divide each side by '1'.
z = -23

Simplifying
z = -23