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

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


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

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

Reorder the terms:
5 + 25x = -5(-5 + 2x) + 2x
5 + 25x = (-5 * -5 + 2x * -5) + 2x
5 + 25x = (25 + -10x) + 2x

Combine like terms: -10x + 2x = -8x
5 + 25x = 25 + -8x

Solving
5 + 25x = 25 + -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.
5 + 25x + 8x = 25 + -8x + 8x

Combine like terms: 25x + 8x = 33x
5 + 33x = 25 + -8x + 8x

Combine like terms: -8x + 8x = 0
5 + 33x = 25 + 0
5 + 33x = 25

Add '-5' to each side of the equation.
5 + -5 + 33x = 25 + -5

Combine like terms: 5 + -5 = 0
0 + 33x = 25 + -5
33x = 25 + -5

Combine like terms: 25 + -5 = 20
33x = 20

Divide each side by '33'.
x = 0.6060606061

Simplifying
x = 0.6060606061

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