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

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Solution for 3(2x-1)+1=-2(x+6)-6 equation: 


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

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

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

Combine like terms: -3 + 1 = -2
-2 + 6x = -2(x + 6) + -6

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

Reorder the terms:
-2 + 6x = -12 + -6 + -2x

Combine like terms: -12 + -6 = -18
-2 + 6x = -18 + -2x

Solving
-2 + 6x = -18 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-2 + 6x + 2x = -18 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-2 + 8x = -18 + -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + 8x = -18 + 0
-2 + 8x = -18

Add '2' to each side of the equation.
-2 + 2 + 8x = -18 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = -18 + 2
8x = -18 + 2

Combine like terms: -18 + 2 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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