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

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

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

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

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

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

Combine like terms: 16 + 2 = 18
18 + 8z + -2z = 3(z + -1) + 2(z + -3)

Combine like terms: 8z + -2z = 6z
18 + 6z = 3(z + -1) + 2(z + -3)

Reorder the terms:
18 + 6z = 3(-1 + z) + 2(z + -3)
18 + 6z = (-1 * 3 + z * 3) + 2(z + -3)
18 + 6z = (-3 + 3z) + 2(z + -3)

Reorder the terms:
18 + 6z = -3 + 3z + 2(-3 + z)
18 + 6z = -3 + 3z + (-3 * 2 + z * 2)
18 + 6z = -3 + 3z + (-6 + 2z)

Reorder the terms:
18 + 6z = -3 + -6 + 3z + 2z

Combine like terms: -3 + -6 = -9
18 + 6z = -9 + 3z + 2z

Combine like terms: 3z + 2z = 5z
18 + 6z = -9 + 5z

Solving
18 + 6z = -9 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
18 + 6z + -5z = -9 + 5z + -5z

Combine like terms: 6z + -5z = 1z
18 + 1z = -9 + 5z + -5z

Combine like terms: 5z + -5z = 0
18 + 1z = -9 + 0
18 + 1z = -9

Add '-18' to each side of the equation.
18 + -18 + 1z = -9 + -18

Combine like terms: 18 + -18 = 0
0 + 1z = -9 + -18
1z = -9 + -18

Combine like terms: -9 + -18 = -27
1z = -27

Divide each side by '1'.
z = -27

Simplifying
z = -27