3(-x+1)-(-12+2x)=6-3x-3

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Solution for 3(-x+1)-(-12+2x)=6-3x-3 equation:


Simplifying
3(-1x + 1) + -1(-12 + 2x) = 6 + -3x + -3

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

Reorder the terms:
3 + 12 + -3x + -2x = 6 + -3x + -3

Combine like terms: 3 + 12 = 15
15 + -3x + -2x = 6 + -3x + -3

Combine like terms: -3x + -2x = -5x
15 + -5x = 6 + -3x + -3

Reorder the terms:
15 + -5x = 6 + -3 + -3x

Combine like terms: 6 + -3 = 3
15 + -5x = 3 + -3x

Solving
15 + -5x = 3 + -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.
15 + -5x + 3x = 3 + -3x + 3x

Combine like terms: -5x + 3x = -2x
15 + -2x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
15 + -2x = 3 + 0
15 + -2x = 3

Add '-15' to each side of the equation.
15 + -15 + -2x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 3 + -15
-2x = 3 + -15

Combine like terms: 3 + -15 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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