-6(-2x+2)-x=3(x-8)-2

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Solution for -6(-2x+2)-x=3(x-8)-2 equation:


Simplifying
-6(-2x + 2) + -1x = 3(x + -8) + -2

Reorder the terms:
-6(2 + -2x) + -1x = 3(x + -8) + -2
(2 * -6 + -2x * -6) + -1x = 3(x + -8) + -2
(-12 + 12x) + -1x = 3(x + -8) + -2

Combine like terms: 12x + -1x = 11x
-12 + 11x = 3(x + -8) + -2

Reorder the terms:
-12 + 11x = 3(-8 + x) + -2
-12 + 11x = (-8 * 3 + x * 3) + -2
-12 + 11x = (-24 + 3x) + -2

Reorder the terms:
-12 + 11x = -24 + -2 + 3x

Combine like terms: -24 + -2 = -26
-12 + 11x = -26 + 3x

Solving
-12 + 11x = -26 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 11x + -3x = -26 + 3x + -3x

Combine like terms: 11x + -3x = 8x
-12 + 8x = -26 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 8x = -26 + 0
-12 + 8x = -26

Add '12' to each side of the equation.
-12 + 12 + 8x = -26 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = -26 + 12
8x = -26 + 12

Combine like terms: -26 + 12 = -14
8x = -14

Divide each side by '8'.
x = -1.75

Simplifying
x = -1.75

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