9(x+4)=12(x-6)

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Solution for 9(x+4)=12(x-6) equation: 


Simplifying
9(x + 4) = 12(x + -6)

Reorder the terms:
9(4 + x) = 12(x + -6)
(4 * 9 + x * 9) = 12(x + -6)
(36 + 9x) = 12(x + -6)

Reorder the terms:
36 + 9x = 12(-6 + x)
36 + 9x = (-6 * 12 + x * 12)
36 + 9x = (-72 + 12x)

Solving
36 + 9x = -72 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
36 + 9x + -12x = -72 + 12x + -12x

Combine like terms: 9x + -12x = -3x
36 + -3x = -72 + 12x + -12x

Combine like terms: 12x + -12x = 0
36 + -3x = -72 + 0
36 + -3x = -72

Add '-36' to each side of the equation.
36 + -36 + -3x = -72 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = -72 + -36
-3x = -72 + -36

Combine like terms: -72 + -36 = -108
-3x = -108

Divide each side by '-3'.
x = 36

Simplifying
x = 36

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