2x-5(5x-1)=12-x

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Solution for 2x-5(5x-1)=12-x equation:


Simplifying
2x + -5(5x + -1) = 12 + -1x

Reorder the terms:
2x + -5(-1 + 5x) = 12 + -1x
2x + (-1 * -5 + 5x * -5) = 12 + -1x
2x + (5 + -25x) = 12 + -1x

Reorder the terms:
5 + 2x + -25x = 12 + -1x

Combine like terms: 2x + -25x = -23x
5 + -23x = 12 + -1x

Solving
5 + -23x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
5 + -23x + x = 12 + -1x + x

Combine like terms: -23x + x = -22x
5 + -22x = 12 + -1x + x

Combine like terms: -1x + x = 0
5 + -22x = 12 + 0
5 + -22x = 12

Add '-5' to each side of the equation.
5 + -5 + -22x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + -22x = 12 + -5
-22x = 12 + -5

Combine like terms: 12 + -5 = 7
-22x = 7

Divide each side by '-22'.
x = -0.3181818182

Simplifying
x = -0.3181818182

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