-2(x-2)-x=3(x+1)-9x

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Solution for -2(x-2)-x=3(x+1)-9x equation:


Simplifying
-2(x + -2) + -1x = 3(x + 1) + -9x

Reorder the terms:
-2(-2 + x) + -1x = 3(x + 1) + -9x
(-2 * -2 + x * -2) + -1x = 3(x + 1) + -9x
(4 + -2x) + -1x = 3(x + 1) + -9x

Combine like terms: -2x + -1x = -3x
4 + -3x = 3(x + 1) + -9x

Reorder the terms:
4 + -3x = 3(1 + x) + -9x
4 + -3x = (1 * 3 + x * 3) + -9x
4 + -3x = (3 + 3x) + -9x

Combine like terms: 3x + -9x = -6x
4 + -3x = 3 + -6x

Solving
4 + -3x = 3 + -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.
4 + -3x + 6x = 3 + -6x + 6x

Combine like terms: -3x + 6x = 3x
4 + 3x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
4 + 3x = 3 + 0
4 + 3x = 3

Add '-4' to each side of the equation.
4 + -4 + 3x = 3 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 3 + -4
3x = 3 + -4

Combine like terms: 3 + -4 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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