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

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


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

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

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

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

Combine like terms: 24 + 2 = 26
26 + 8z + -2z = 2(z + -2) + 3(z + -3)

Combine like terms: 8z + -2z = 6z
26 + 6z = 2(z + -2) + 3(z + -3)

Reorder the terms:
26 + 6z = 2(-2 + z) + 3(z + -3)
26 + 6z = (-2 * 2 + z * 2) + 3(z + -3)
26 + 6z = (-4 + 2z) + 3(z + -3)

Reorder the terms:
26 + 6z = -4 + 2z + 3(-3 + z)
26 + 6z = -4 + 2z + (-3 * 3 + z * 3)
26 + 6z = -4 + 2z + (-9 + 3z)

Reorder the terms:
26 + 6z = -4 + -9 + 2z + 3z

Combine like terms: -4 + -9 = -13
26 + 6z = -13 + 2z + 3z

Combine like terms: 2z + 3z = 5z
26 + 6z = -13 + 5z

Solving
26 + 6z = -13 + 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.
26 + 6z + -5z = -13 + 5z + -5z

Combine like terms: 6z + -5z = 1z
26 + 1z = -13 + 5z + -5z

Combine like terms: 5z + -5z = 0
26 + 1z = -13 + 0
26 + 1z = -13

Add '-26' to each side of the equation.
26 + -26 + 1z = -13 + -26

Combine like terms: 26 + -26 = 0
0 + 1z = -13 + -26
1z = -13 + -26

Combine like terms: -13 + -26 = -39
1z = -39

Divide each side by '1'.
z = -39

Simplifying
z = -39

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