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

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


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

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

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

Combine like terms: 3 + 1 = 4
4 + -6x = -2(-1x + 6)

Reorder the terms:
4 + -6x = -2(6 + -1x)
4 + -6x = (6 * -2 + -1x * -2)
4 + -6x = (-12 + 2x)

Solving
4 + -6x = -12 + 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.
4 + -6x + -2x = -12 + 2x + -2x

Combine like terms: -6x + -2x = -8x
4 + -8x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -8x = -12 + 0
4 + -8x = -12

Add '-4' to each side of the equation.
4 + -4 + -8x = -12 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = -12 + -4
-8x = -12 + -4

Combine like terms: -12 + -4 = -16
-8x = -16

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

Simplifying
x = 2

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