11(1-9x)=-7-12(5x-8)

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Solution for 11(1-9x)=-7-12(5x-8) equation: 


Simplifying
11(1 + -9x) = -7 + -12(5x + -8)
(1 * 11 + -9x * 11) = -7 + -12(5x + -8)
(11 + -99x) = -7 + -12(5x + -8)

Reorder the terms:
11 + -99x = -7 + -12(-8 + 5x)
11 + -99x = -7 + (-8 * -12 + 5x * -12)
11 + -99x = -7 + (96 + -60x)

Combine like terms: -7 + 96 = 89
11 + -99x = 89 + -60x

Solving
11 + -99x = 89 + -60x

Solving for variable 'x'.

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

Add '60x' to each side of the equation.
11 + -99x + 60x = 89 + -60x + 60x

Combine like terms: -99x + 60x = -39x
11 + -39x = 89 + -60x + 60x

Combine like terms: -60x + 60x = 0
11 + -39x = 89 + 0
11 + -39x = 89

Add '-11' to each side of the equation.
11 + -11 + -39x = 89 + -11

Combine like terms: 11 + -11 = 0
0 + -39x = 89 + -11
-39x = 89 + -11

Combine like terms: 89 + -11 = 78
-39x = 78

Divide each side by '-39'.
x = -2

Simplifying
x = -2

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