5(x+8)=10(x-4)

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Solution for 5(x+8)=10(x-4) equation:


Simplifying
5(x + 8) = 10(x + -4)

Reorder the terms:
5(8 + x) = 10(x + -4)
(8 * 5 + x * 5) = 10(x + -4)
(40 + 5x) = 10(x + -4)

Reorder the terms:
40 + 5x = 10(-4 + x)
40 + 5x = (-4 * 10 + x * 10)
40 + 5x = (-40 + 10x)

Solving
40 + 5x = -40 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
40 + 5x + -10x = -40 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
40 + -5x = -40 + 0
40 + -5x = -40

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

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

Combine like terms: -40 + -40 = -80
-5x = -80

Divide each side by '-5'.
x = 16

Simplifying
x = 16

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