3(x-4)=-12+x+2z

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Solution for 3(x-4)=-12+x+2z equation: 


Simplifying
3(x + -4) = -12 + x + 2z

Reorder the terms:
3(-4 + x) = -12 + x + 2z
(-4 * 3 + x * 3) = -12 + x + 2z
(-12 + 3x) = -12 + x + 2z

Add '12' to each side of the equation.
-12 + 12 + 3x = -12 + x + 12 + 2z

Combine like terms: -12 + 12 = 0
0 + 3x = -12 + x + 12 + 2z
3x = -12 + x + 12 + 2z

Reorder the terms:
3x = -12 + 12 + x + 2z

Combine like terms: -12 + 12 = 0
3x = 0 + x + 2z
3x = x + 2z

Solving
3x = x + 2z

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3x + -1x = x + -1x + 2z

Combine like terms: 3x + -1x = 2x
2x = x + -1x + 2z

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

Divide each side by '2'.
x = z

Simplifying
x = z

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