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

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


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

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

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

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

Combine like terms: 16 + 4 = 20
20 + 8z + -2z = 3(z + -3) + 2(z + -1)

Combine like terms: 8z + -2z = 6z
20 + 6z = 3(z + -3) + 2(z + -1)

Reorder the terms:
20 + 6z = 3(-3 + z) + 2(z + -1)
20 + 6z = (-3 * 3 + z * 3) + 2(z + -1)
20 + 6z = (-9 + 3z) + 2(z + -1)

Reorder the terms:
20 + 6z = -9 + 3z + 2(-1 + z)
20 + 6z = -9 + 3z + (-1 * 2 + z * 2)
20 + 6z = -9 + 3z + (-2 + 2z)

Reorder the terms:
20 + 6z = -9 + -2 + 3z + 2z

Combine like terms: -9 + -2 = -11
20 + 6z = -11 + 3z + 2z

Combine like terms: 3z + 2z = 5z
20 + 6z = -11 + 5z

Solving
20 + 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.
20 + 6z + -5z = -11 + 5z + -5z

Combine like terms: 6z + -5z = 1z
20 + 1z = -11 + 5z + -5z

Combine like terms: 5z + -5z = 0
20 + 1z = -11 + 0
20 + 1z = -11

Add '-20' to each side of the equation.
20 + -20 + 1z = -11 + -20

Combine like terms: 20 + -20 = 0
0 + 1z = -11 + -20
1z = -11 + -20

Combine like terms: -11 + -20 = -31
1z = -31

Divide each side by '1'.
z = -31

Simplifying
z = -31

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