108=-5(x-8)-(x+3)

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Solution for 108=-5(x-8)-(x+3) equation:


Simplifying
108 = -5(x + -8) + -1(x + 3)

Reorder the terms:
108 = -5(-8 + x) + -1(x + 3)
108 = (-8 * -5 + x * -5) + -1(x + 3)
108 = (40 + -5x) + -1(x + 3)

Reorder the terms:
108 = 40 + -5x + -1(3 + x)
108 = 40 + -5x + (3 * -1 + x * -1)
108 = 40 + -5x + (-3 + -1x)

Reorder the terms:
108 = 40 + -3 + -5x + -1x

Combine like terms: 40 + -3 = 37
108 = 37 + -5x + -1x

Combine like terms: -5x + -1x = -6x
108 = 37 + -6x

Solving
108 = 37 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
108 + 6x = 37 + -6x + 6x

Combine like terms: -6x + 6x = 0
108 + 6x = 37 + 0
108 + 6x = 37

Add '-108' to each side of the equation.
108 + -108 + 6x = 37 + -108

Combine like terms: 108 + -108 = 0
0 + 6x = 37 + -108
6x = 37 + -108

Combine like terms: 37 + -108 = -71
6x = -71

Divide each side by '6'.
x = -11.83333333

Simplifying
x = -11.83333333

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