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

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

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

Reorder the terms:
8(2 + z) + -2(z + -3) = 3(z + -1) + 2(z + -4)
(2 * 8 + z * 8) + -2(z + -3) = 3(z + -1) + 2(z + -4)
(16 + 8z) + -2(z + -3) = 3(z + -1) + 2(z + -4)

Reorder the terms:
16 + 8z + -2(-3 + z) = 3(z + -1) + 2(z + -4)
16 + 8z + (-3 * -2 + z * -2) = 3(z + -1) + 2(z + -4)
16 + 8z + (6 + -2z) = 3(z + -1) + 2(z + -4)

Reorder the terms:
16 + 6 + 8z + -2z = 3(z + -1) + 2(z + -4)

Combine like terms: 16 + 6 = 22
22 + 8z + -2z = 3(z + -1) + 2(z + -4)

Combine like terms: 8z + -2z = 6z
22 + 6z = 3(z + -1) + 2(z + -4)

Reorder the terms:
22 + 6z = 3(-1 + z) + 2(z + -4)
22 + 6z = (-1 * 3 + z * 3) + 2(z + -4)
22 + 6z = (-3 + 3z) + 2(z + -4)

Reorder the terms:
22 + 6z = -3 + 3z + 2(-4 + z)
22 + 6z = -3 + 3z + (-4 * 2 + z * 2)
22 + 6z = -3 + 3z + (-8 + 2z)

Reorder the terms:
22 + 6z = -3 + -8 + 3z + 2z

Combine like terms: -3 + -8 = -11
22 + 6z = -11 + 3z + 2z

Combine like terms: 3z + 2z = 5z
22 + 6z = -11 + 5z

Solving
22 + 6z = -11 + 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.
22 + 6z + -5z = -11 + 5z + -5z

Combine like terms: 6z + -5z = 1z
22 + 1z = -11 + 5z + -5z

Combine like terms: 5z + -5z = 0
22 + 1z = -11 + 0
22 + 1z = -11

Add '-22' to each side of the equation.
22 + -22 + 1z = -11 + -22

Combine like terms: 22 + -22 = 0
0 + 1z = -11 + -22
1z = -11 + -22

Combine like terms: -11 + -22 = -33
1z = -33

Divide each side by '1'.
z = -33

Simplifying
z = -33