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

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


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

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

Reorder the terms:
40 + -5x = 2(-5 + x) + 8
40 + -5x = (-5 * 2 + x * 2) + 8
40 + -5x = (-10 + 2x) + 8

Reorder the terms:
40 + -5x = -10 + 8 + 2x

Combine like terms: -10 + 8 = -2
40 + -5x = -2 + 2x

Solving
40 + -5x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
40 + -5x + -2x = -2 + 2x + -2x

Combine like terms: -5x + -2x = -7x
40 + -7x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
40 + -7x = -2 + 0
40 + -7x = -2

Add '-40' to each side of the equation.
40 + -40 + -7x = -2 + -40

Combine like terms: 40 + -40 = 0
0 + -7x = -2 + -40
-7x = -2 + -40

Combine like terms: -2 + -40 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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