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 = 13x
-10 + 13x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
-10 + 13x = 2 + 0
-10 + 13x = 2

Add '10' to each side of the equation.
-10 + 10 + 13x = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 13x = 2 + 10
13x = 2 + 10

Combine like terms: 2 + 10 = 12
13x = 12

Divide each side by '13'.
x = 0.9230769231

Simplifying
x = 0.9230769231

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