3(4x+3)=-9(-x+12)

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Solution for 3(4x+3)=-9(-x+12) equation:


Simplifying
3(4x + 3) = -9(-1x + 12)

Reorder the terms:
3(3 + 4x) = -9(-1x + 12)
(3 * 3 + 4x * 3) = -9(-1x + 12)
(9 + 12x) = -9(-1x + 12)

Reorder the terms:
9 + 12x = -9(12 + -1x)
9 + 12x = (12 * -9 + -1x * -9)
9 + 12x = (-108 + 9x)

Solving
9 + 12x = -108 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
9 + 12x + -9x = -108 + 9x + -9x

Combine like terms: 12x + -9x = 3x
9 + 3x = -108 + 9x + -9x

Combine like terms: 9x + -9x = 0
9 + 3x = -108 + 0
9 + 3x = -108

Add '-9' to each side of the equation.
9 + -9 + 3x = -108 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = -108 + -9
3x = -108 + -9

Combine like terms: -108 + -9 = -117
3x = -117

Divide each side by '3'.
x = -39

Simplifying
x = -39

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