5(2x+10)=5(x-8)

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Solution for 5(2x+10)=5(x-8) equation:


Simplifying
5(2x + 10) = 5(x + -8)

Reorder the terms:
5(10 + 2x) = 5(x + -8)
(10 * 5 + 2x * 5) = 5(x + -8)
(50 + 10x) = 5(x + -8)

Reorder the terms:
50 + 10x = 5(-8 + x)
50 + 10x = (-8 * 5 + x * 5)
50 + 10x = (-40 + 5x)

Solving
50 + 10x = -40 + 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.
50 + 10x + -5x = -40 + 5x + -5x

Combine like terms: 10x + -5x = 5x
50 + 5x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
50 + 5x = -40 + 0
50 + 5x = -40

Add '-50' to each side of the equation.
50 + -50 + 5x = -40 + -50

Combine like terms: 50 + -50 = 0
0 + 5x = -40 + -50
5x = -40 + -50

Combine like terms: -40 + -50 = -90
5x = -90

Divide each side by '5'.
x = -18

Simplifying
x = -18

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