8(z+1)-3(z-4)=2(z-2)+2(z-1)

Solution for 8(z+1)-3(z-4)=2(z-2)+2(z-1) equation:

Simplifying
8(z + 1) + -3(z + -4) = 2(z + -2) + 2(z + -1)

Reorder the terms:
8(1 + z) + -3(z + -4) = 2(z + -2) + 2(z + -1)
(1 * 8 + z * 8) + -3(z + -4) = 2(z + -2) + 2(z + -1)
(8 + 8z) + -3(z + -4) = 2(z + -2) + 2(z + -1)

Reorder the terms:
8 + 8z + -3(-4 + z) = 2(z + -2) + 2(z + -1)
8 + 8z + (-4 * -3 + z * -3) = 2(z + -2) + 2(z + -1)
8 + 8z + (12 + -3z) = 2(z + -2) + 2(z + -1)

Reorder the terms:
8 + 12 + 8z + -3z = 2(z + -2) + 2(z + -1)

Combine like terms: 8 + 12 = 20
20 + 8z + -3z = 2(z + -2) + 2(z + -1)

Combine like terms: 8z + -3z = 5z
20 + 5z = 2(z + -2) + 2(z + -1)

Reorder the terms:
20 + 5z = 2(-2 + z) + 2(z + -1)
20 + 5z = (-2 * 2 + z * 2) + 2(z + -1)
20 + 5z = (-4 + 2z) + 2(z + -1)

Reorder the terms:
20 + 5z = -4 + 2z + 2(-1 + z)
20 + 5z = -4 + 2z + (-1 * 2 + z * 2)
20 + 5z = -4 + 2z + (-2 + 2z)

Reorder the terms:
20 + 5z = -4 + -2 + 2z + 2z

Combine like terms: -4 + -2 = -6
20 + 5z = -6 + 2z + 2z

Combine like terms: 2z + 2z = 4z
20 + 5z = -6 + 4z

Solving
20 + 5z = -6 + 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.
20 + 5z + -4z = -6 + 4z + -4z

Combine like terms: 5z + -4z = 1z
20 + 1z = -6 + 4z + -4z

Combine like terms: 4z + -4z = 0
20 + 1z = -6 + 0
20 + 1z = -6

Add '-20' to each side of the equation.
20 + -20 + 1z = -6 + -20

Combine like terms: 20 + -20 = 0
0 + 1z = -6 + -20
1z = -6 + -20

Combine like terms: -6 + -20 = -26
1z = -26

Divide each side by '1'.
z = -26

Simplifying
z = -26