-10(x+12)=8x-12(1-3x)

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Solution for -10(x+12)=8x-12(1-3x) equation: 


Simplifying
-10(x + 12) = 8x + -12(1 + -3x)

Reorder the terms:
-10(12 + x) = 8x + -12(1 + -3x)
(12 * -10 + x * -10) = 8x + -12(1 + -3x)
(-120 + -10x) = 8x + -12(1 + -3x)
-120 + -10x = 8x + (1 * -12 + -3x * -12)
-120 + -10x = 8x + (-12 + 36x)

Reorder the terms:
-120 + -10x = -12 + 8x + 36x

Combine like terms: 8x + 36x = 44x
-120 + -10x = -12 + 44x

Solving
-120 + -10x = -12 + 44x

Solving for variable 'x'.

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

Add '-44x' to each side of the equation.
-120 + -10x + -44x = -12 + 44x + -44x

Combine like terms: -10x + -44x = -54x
-120 + -54x = -12 + 44x + -44x

Combine like terms: 44x + -44x = 0
-120 + -54x = -12 + 0
-120 + -54x = -12

Add '120' to each side of the equation.
-120 + 120 + -54x = -12 + 120

Combine like terms: -120 + 120 = 0
0 + -54x = -12 + 120
-54x = -12 + 120

Combine like terms: -12 + 120 = 108
-54x = 108

Divide each side by '-54'.
x = -2

Simplifying
x = -2

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