6(-x+8)=-(-1-5x)-8

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Solution for 6(-x+8)=-(-1-5x)-8 equation: 


Simplifying
6(-1x + 8) = -1(-1 + -5x) + -8

Reorder the terms:
6(8 + -1x) = -1(-1 + -5x) + -8
(8 * 6 + -1x * 6) = -1(-1 + -5x) + -8
(48 + -6x) = -1(-1 + -5x) + -8
48 + -6x = (-1 * -1 + -5x * -1) + -8
48 + -6x = (1 + 5x) + -8

Reorder the terms:
48 + -6x = 1 + -8 + 5x

Combine like terms: 1 + -8 = -7
48 + -6x = -7 + 5x

Solving
48 + -6x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
48 + -6x + -5x = -7 + 5x + -5x

Combine like terms: -6x + -5x = -11x
48 + -11x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
48 + -11x = -7 + 0
48 + -11x = -7

Add '-48' to each side of the equation.
48 + -48 + -11x = -7 + -48

Combine like terms: 48 + -48 = 0
0 + -11x = -7 + -48
-11x = -7 + -48

Combine like terms: -7 + -48 = -55
-11x = -55

Divide each side by '-11'.
x = 5

Simplifying
x = 5

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