12(x+3)-3(z-1)=4(z-1)+4(z-3)

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Solution for 12(x+3)-3(z-1)=4(z-1)+4(z-3) equation: 


Simplifying
12(x + 3) + -3(z + -1) = 4(z + -1) + 4(z + -3)

Reorder the terms:
12(3 + x) + -3(z + -1) = 4(z + -1) + 4(z + -3)
(3 * 12 + x * 12) + -3(z + -1) = 4(z + -1) + 4(z + -3)
(36 + 12x) + -3(z + -1) = 4(z + -1) + 4(z + -3)

Reorder the terms:
36 + 12x + -3(-1 + z) = 4(z + -1) + 4(z + -3)
36 + 12x + (-1 * -3 + z * -3) = 4(z + -1) + 4(z + -3)
36 + 12x + (3 + -3z) = 4(z + -1) + 4(z + -3)

Reorder the terms:
36 + 3 + 12x + -3z = 4(z + -1) + 4(z + -3)

Combine like terms: 36 + 3 = 39
39 + 12x + -3z = 4(z + -1) + 4(z + -3)

Reorder the terms:
39 + 12x + -3z = 4(-1 + z) + 4(z + -3)
39 + 12x + -3z = (-1 * 4 + z * 4) + 4(z + -3)
39 + 12x + -3z = (-4 + 4z) + 4(z + -3)

Reorder the terms:
39 + 12x + -3z = -4 + 4z + 4(-3 + z)
39 + 12x + -3z = -4 + 4z + (-3 * 4 + z * 4)
39 + 12x + -3z = -4 + 4z + (-12 + 4z)

Reorder the terms:
39 + 12x + -3z = -4 + -12 + 4z + 4z

Combine like terms: -4 + -12 = -16
39 + 12x + -3z = -16 + 4z + 4z

Combine like terms: 4z + 4z = 8z
39 + 12x + -3z = -16 + 8z

Solving
39 + 12x + -3z = -16 + 8z

Solving for variable 'x'.

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

Add '-39' to each side of the equation.
39 + 12x + -39 + -3z = -16 + -39 + 8z

Reorder the terms:
39 + -39 + 12x + -3z = -16 + -39 + 8z

Combine like terms: 39 + -39 = 0
0 + 12x + -3z = -16 + -39 + 8z
12x + -3z = -16 + -39 + 8z

Combine like terms: -16 + -39 = -55
12x + -3z = -55 + 8z

Add '3z' to each side of the equation.
12x + -3z + 3z = -55 + 8z + 3z

Combine like terms: -3z + 3z = 0
12x + 0 = -55 + 8z + 3z
12x = -55 + 8z + 3z

Combine like terms: 8z + 3z = 11z
12x = -55 + 11z

Divide each side by '12'.
x = -4.583333333 + 0.9166666667z

Simplifying
x = -4.583333333 + 0.9166666667z

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