6x-5(-8+2x)=8-5(2-2x)

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Solution for 6x-5(-8+2x)=8-5(2-2x) equation:


Simplifying
6x + -5(-8 + 2x) = 8 + -5(2 + -2x)
6x + (-8 * -5 + 2x * -5) = 8 + -5(2 + -2x)
6x + (40 + -10x) = 8 + -5(2 + -2x)

Reorder the terms:
40 + 6x + -10x = 8 + -5(2 + -2x)

Combine like terms: 6x + -10x = -4x
40 + -4x = 8 + -5(2 + -2x)
40 + -4x = 8 + (2 * -5 + -2x * -5)
40 + -4x = 8 + (-10 + 10x)

Combine like terms: 8 + -10 = -2
40 + -4x = -2 + 10x

Solving
40 + -4x = -2 + 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 + -4x + -10x = -2 + 10x + -10x

Combine like terms: -4x + -10x = -14x
40 + -14x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
40 + -14x = -2 + 0
40 + -14x = -2

Add '-40' to each side of the equation.
40 + -40 + -14x = -2 + -40

Combine like terms: 40 + -40 = 0
0 + -14x = -2 + -40
-14x = -2 + -40

Combine like terms: -2 + -40 = -42
-14x = -42

Divide each side by '-14'.
x = 3

Simplifying
x = 3

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