-6(x-8)=-12(x-11)-6

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Solution for -6(x-8)=-12(x-11)-6 equation:


Simplifying
-6(x + -8) = -12(x + -11) + -6

Reorder the terms:
-6(-8 + x) = -12(x + -11) + -6
(-8 * -6 + x * -6) = -12(x + -11) + -6
(48 + -6x) = -12(x + -11) + -6

Reorder the terms:
48 + -6x = -12(-11 + x) + -6
48 + -6x = (-11 * -12 + x * -12) + -6
48 + -6x = (132 + -12x) + -6

Reorder the terms:
48 + -6x = 132 + -6 + -12x

Combine like terms: 132 + -6 = 126
48 + -6x = 126 + -12x

Solving
48 + -6x = 126 + -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.
48 + -6x + 12x = 126 + -12x + 12x

Combine like terms: -6x + 12x = 6x
48 + 6x = 126 + -12x + 12x

Combine like terms: -12x + 12x = 0
48 + 6x = 126 + 0
48 + 6x = 126

Add '-48' to each side of the equation.
48 + -48 + 6x = 126 + -48

Combine like terms: 48 + -48 = 0
0 + 6x = 126 + -48
6x = 126 + -48

Combine like terms: 126 + -48 = 78
6x = 78

Divide each side by '6'.
x = 13

Simplifying
x = 13

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