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

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


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

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

Solving
10 + -5x = 2 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
10 + -5x + 8x = 2 + -8x + 8x

Combine like terms: -5x + 8x = 3x
10 + 3x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
10 + 3x = 2 + 0
10 + 3x = 2

Add '-10' to each side of the equation.
10 + -10 + 3x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 2 + -10
3x = 2 + -10

Combine like terms: 2 + -10 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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