-12(x-9)=3(x-16)

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Solution for -12(x-9)=3(x-16) equation: 


Simplifying
-12(x + -9) = 3(x + -16)

Reorder the terms:
-12(-9 + x) = 3(x + -16)
(-9 * -12 + x * -12) = 3(x + -16)
(108 + -12x) = 3(x + -16)

Reorder the terms:
108 + -12x = 3(-16 + x)
108 + -12x = (-16 * 3 + x * 3)
108 + -12x = (-48 + 3x)

Solving
108 + -12x = -48 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
108 + -12x + -3x = -48 + 3x + -3x

Combine like terms: -12x + -3x = -15x
108 + -15x = -48 + 3x + -3x

Combine like terms: 3x + -3x = 0
108 + -15x = -48 + 0
108 + -15x = -48

Add '-108' to each side of the equation.
108 + -108 + -15x = -48 + -108

Combine like terms: 108 + -108 = 0
0 + -15x = -48 + -108
-15x = -48 + -108

Combine like terms: -48 + -108 = -156
-15x = -156

Divide each side by '-15'.
x = 10.4

Simplifying
x = 10.4

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