-2(6x-1)-x=9(x-2)-2

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Solution for -2(6x-1)-x=9(x-2)-2 equation: 


Simplifying
-2(6x + -1) + -1x = 9(x + -2) + -2

Reorder the terms:
-2(-1 + 6x) + -1x = 9(x + -2) + -2
(-1 * -2 + 6x * -2) + -1x = 9(x + -2) + -2
(2 + -12x) + -1x = 9(x + -2) + -2

Combine like terms: -12x + -1x = -13x
2 + -13x = 9(x + -2) + -2

Reorder the terms:
2 + -13x = 9(-2 + x) + -2
2 + -13x = (-2 * 9 + x * 9) + -2
2 + -13x = (-18 + 9x) + -2

Reorder the terms:
2 + -13x = -18 + -2 + 9x

Combine like terms: -18 + -2 = -20
2 + -13x = -20 + 9x

Solving
2 + -13x = -20 + 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.
2 + -13x + -9x = -20 + 9x + -9x

Combine like terms: -13x + -9x = -22x
2 + -22x = -20 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -22x = -20 + 0
2 + -22x = -20

Add '-2' to each side of the equation.
2 + -2 + -22x = -20 + -2

Combine like terms: 2 + -2 = 0
0 + -22x = -20 + -2
-22x = -20 + -2

Combine like terms: -20 + -2 = -22
-22x = -22

Divide each side by '-22'.
x = 1

Simplifying
x = 1

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