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

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


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

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

Combine like terms: 1 + -2 = -1
-1 + -1x + 2x = 5(2x + -5) + -1x

Combine like terms: -1x + 2x = 1x
-1 + 1x = 5(2x + -5) + -1x

Reorder the terms:
-1 + 1x = 5(-5 + 2x) + -1x
-1 + 1x = (-5 * 5 + 2x * 5) + -1x
-1 + 1x = (-25 + 10x) + -1x

Combine like terms: 10x + -1x = 9x
-1 + 1x = -25 + 9x

Solving
-1 + 1x = -25 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-1 + 1x + -9x = -25 + 9x + -9x

Combine like terms: 1x + -9x = -8x
-1 + -8x = -25 + 9x + -9x

Combine like terms: 9x + -9x = 0
-1 + -8x = -25 + 0
-1 + -8x = -25

Add '1' to each side of the equation.
-1 + 1 + -8x = -25 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = -25 + 1
-8x = -25 + 1

Combine like terms: -25 + 1 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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