116=5x-2(-4x+20)

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Solution for 116=5x-2(-4x+20) equation:


Simplifying
116 = 5x + -2(-4x + 20)

Reorder the terms:
116 = 5x + -2(20 + -4x)
116 = 5x + (20 * -2 + -4x * -2)
116 = 5x + (-40 + 8x)

Reorder the terms:
116 = -40 + 5x + 8x

Combine like terms: 5x + 8x = 13x
116 = -40 + 13x

Solving
116 = -40 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
116 + -13x = -40 + 13x + -13x

Combine like terms: 13x + -13x = 0
116 + -13x = -40 + 0
116 + -13x = -40

Add '-116' to each side of the equation.
116 + -116 + -13x = -40 + -116

Combine like terms: 116 + -116 = 0
0 + -13x = -40 + -116
-13x = -40 + -116

Combine like terms: -40 + -116 = -156
-13x = -156

Divide each side by '-13'.
x = 12

Simplifying
x = 12

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