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

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

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

Reorder the terms:
8(3 + z) + -2(z + -3) = 3(z + -2) + 2(z + -1)
(3 * 8 + z * 8) + -2(z + -3) = 3(z + -2) + 2(z + -1)
(24 + 8z) + -2(z + -3) = 3(z + -2) + 2(z + -1)

Reorder the terms:
24 + 8z + -2(-3 + z) = 3(z + -2) + 2(z + -1)
24 + 8z + (-3 * -2 + z * -2) = 3(z + -2) + 2(z + -1)
24 + 8z + (6 + -2z) = 3(z + -2) + 2(z + -1)

Reorder the terms:
24 + 6 + 8z + -2z = 3(z + -2) + 2(z + -1)

Combine like terms: 24 + 6 = 30
30 + 8z + -2z = 3(z + -2) + 2(z + -1)

Combine like terms: 8z + -2z = 6z
30 + 6z = 3(z + -2) + 2(z + -1)

Reorder the terms:
30 + 6z = 3(-2 + z) + 2(z + -1)
30 + 6z = (-2 * 3 + z * 3) + 2(z + -1)
30 + 6z = (-6 + 3z) + 2(z + -1)

Reorder the terms:
30 + 6z = -6 + 3z + 2(-1 + z)
30 + 6z = -6 + 3z + (-1 * 2 + z * 2)
30 + 6z = -6 + 3z + (-2 + 2z)

Reorder the terms:
30 + 6z = -6 + -2 + 3z + 2z

Combine like terms: -6 + -2 = -8
30 + 6z = -8 + 3z + 2z

Combine like terms: 3z + 2z = 5z
30 + 6z = -8 + 5z

Solving
30 + 6z = -8 + 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.
30 + 6z + -5z = -8 + 5z + -5z

Combine like terms: 6z + -5z = 1z
30 + 1z = -8 + 5z + -5z

Combine like terms: 5z + -5z = 0
30 + 1z = -8 + 0
30 + 1z = -8

Add '-30' to each side of the equation.
30 + -30 + 1z = -8 + -30

Combine like terms: 30 + -30 = 0
0 + 1z = -8 + -30
1z = -8 + -30

Combine like terms: -8 + -30 = -38
1z = -38

Divide each side by '1'.
z = -38

Simplifying
z = -38