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

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


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

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

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

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

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

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

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

Remove parenthesis around (-2 + z)
22 + 6z = -2 + z + 3(z + -3)

Reorder the terms:
22 + 6z = -2 + z + 3(-3 + z)
22 + 6z = -2 + z + (-3 * 3 + z * 3)
22 + 6z = -2 + z + (-9 + 3z)

Reorder the terms:
22 + 6z = -2 + -9 + z + 3z

Combine like terms: -2 + -9 = -11
22 + 6z = -11 + z + 3z

Combine like terms: z + 3z = 4z
22 + 6z = -11 + 4z

Solving
22 + 6z = -11 + 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.
22 + 6z + -4z = -11 + 4z + -4z

Combine like terms: 6z + -4z = 2z
22 + 2z = -11 + 4z + -4z

Combine like terms: 4z + -4z = 0
22 + 2z = -11 + 0
22 + 2z = -11

Add '-22' to each side of the equation.
22 + -22 + 2z = -11 + -22

Combine like terms: 22 + -22 = 0
0 + 2z = -11 + -22
2z = -11 + -22

Combine like terms: -11 + -22 = -33
2z = -33

Divide each side by '2'.
z = -16.5

Simplifying
z = -16.5

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