9(z+3)-4(z-1)=2(z-4)+2(x-4)

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Solution for 9(z+3)-4(z-1)=2(z-4)+2(x-4) equation: 


Simplifying
9(z + 3) + -4(z + -1) = 2(z + -4) + 2(x + -4)

Reorder the terms:
9(3 + z) + -4(z + -1) = 2(z + -4) + 2(x + -4)
(3 * 9 + z * 9) + -4(z + -1) = 2(z + -4) + 2(x + -4)
(27 + 9z) + -4(z + -1) = 2(z + -4) + 2(x + -4)

Reorder the terms:
27 + 9z + -4(-1 + z) = 2(z + -4) + 2(x + -4)
27 + 9z + (-1 * -4 + z * -4) = 2(z + -4) + 2(x + -4)
27 + 9z + (4 + -4z) = 2(z + -4) + 2(x + -4)

Reorder the terms:
27 + 4 + 9z + -4z = 2(z + -4) + 2(x + -4)

Combine like terms: 27 + 4 = 31
31 + 9z + -4z = 2(z + -4) + 2(x + -4)

Combine like terms: 9z + -4z = 5z
31 + 5z = 2(z + -4) + 2(x + -4)

Reorder the terms:
31 + 5z = 2(-4 + z) + 2(x + -4)
31 + 5z = (-4 * 2 + z * 2) + 2(x + -4)
31 + 5z = (-8 + 2z) + 2(x + -4)

Reorder the terms:
31 + 5z = -8 + 2z + 2(-4 + x)
31 + 5z = -8 + 2z + (-4 * 2 + x * 2)
31 + 5z = -8 + 2z + (-8 + 2x)

Reorder the terms:
31 + 5z = -8 + -8 + 2x + 2z

Combine like terms: -8 + -8 = -16
31 + 5z = -16 + 2x + 2z

Solving
31 + 5z = -16 + 2x + 2z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-2z' to each side of the equation.
31 + 5z + -2z = -16 + 2x + 2z + -2z

Combine like terms: 5z + -2z = 3z
31 + 3z = -16 + 2x + 2z + -2z

Combine like terms: 2z + -2z = 0
31 + 3z = -16 + 2x + 0
31 + 3z = -16 + 2x

Add '-31' to each side of the equation.
31 + -31 + 3z = -16 + -31 + 2x

Combine like terms: 31 + -31 = 0
0 + 3z = -16 + -31 + 2x
3z = -16 + -31 + 2x

Combine like terms: -16 + -31 = -47
3z = -47 + 2x

Divide each side by '3'.
z = -15.66666667 + 0.6666666667x

Simplifying
z = -15.66666667 + 0.6666666667x

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