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

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


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

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

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

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

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

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

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

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

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

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

Combine like terms: 2z + 3z = 5z
16 + 6z = 2 + 5z

Solving
16 + 6z = 2 + 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.
16 + 6z + -5z = 2 + 5z + -5z

Combine like terms: 6z + -5z = 1z
16 + 1z = 2 + 5z + -5z

Combine like terms: 5z + -5z = 0
16 + 1z = 2 + 0
16 + 1z = 2

Add '-16' to each side of the equation.
16 + -16 + 1z = 2 + -16

Combine like terms: 16 + -16 = 0
0 + 1z = 2 + -16
1z = 2 + -16

Combine like terms: 2 + -16 = -14
1z = -14

Divide each side by '1'.
z = -14

Simplifying
z = -14

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