-4(x-9)=12-(x-12)

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Solution for -4(x-9)=12-(x-12) equation: 


Simplifying
-4(x + -9) = 12 + -1(x + -12)

Reorder the terms:
-4(-9 + x) = 12 + -1(x + -12)
(-9 * -4 + x * -4) = 12 + -1(x + -12)
(36 + -4x) = 12 + -1(x + -12)

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

Combine like terms: 12 + 12 = 24
36 + -4x = 24 + -1x

Solving
36 + -4x = 24 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
36 + -4x + x = 24 + -1x + x

Combine like terms: -4x + x = -3x
36 + -3x = 24 + -1x + x

Combine like terms: -1x + x = 0
36 + -3x = 24 + 0
36 + -3x = 24

Add '-36' to each side of the equation.
36 + -36 + -3x = 24 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = 24 + -36
-3x = 24 + -36

Combine like terms: 24 + -36 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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