108=5x-8(5-4x)

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Solution for 108=5x-8(5-4x) equation:


Simplifying
108 = 5x + -8(5 + -4x)
108 = 5x + (5 * -8 + -4x * -8)
108 = 5x + (-40 + 32x)

Reorder the terms:
108 = -40 + 5x + 32x

Combine like terms: 5x + 32x = 37x
108 = -40 + 37x

Solving
108 = -40 + 37x

Solving for variable 'x'.

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

Add '-37x' to each side of the equation.
108 + -37x = -40 + 37x + -37x

Combine like terms: 37x + -37x = 0
108 + -37x = -40 + 0
108 + -37x = -40

Add '-108' to each side of the equation.
108 + -108 + -37x = -40 + -108

Combine like terms: 108 + -108 = 0
0 + -37x = -40 + -108
-37x = -40 + -108

Combine like terms: -40 + -108 = -148
-37x = -148

Divide each side by '-37'.
x = 4

Simplifying
x = 4

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