5(5x+1)=2x-8x

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Solution for 5(5x+1)=2x-8x equation:


Simplifying
5(5x + 1) = 2x + -8x

Reorder the terms:
5(1 + 5x) = 2x + -8x
(1 * 5 + 5x * 5) = 2x + -8x
(5 + 25x) = 2x + -8x

Combine like terms: 2x + -8x = -6x
5 + 25x = -6x

Solving
5 + 25x = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
5 + 25x + 6x = -6x + 6x

Combine like terms: 25x + 6x = 31x
5 + 31x = -6x + 6x

Combine like terms: -6x + 6x = 0
5 + 31x = 0

Add '-5' to each side of the equation.
5 + -5 + 31x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 31x = 0 + -5
31x = 0 + -5

Combine like terms: 0 + -5 = -5
31x = -5

Divide each side by '31'.
x = -0.1612903226

Simplifying
x = -0.1612903226

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