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

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


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

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

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

Reorder the terms:
-6 + -6 + -2x + 2x = 6 + -1x

Combine like terms: -6 + -6 = -12
-12 + -2x + 2x = 6 + -1x

Combine like terms: -2x + 2x = 0
-12 + 0 = 6 + -1x
-12 = 6 + -1x

Solving
-12 = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-12 + x = 6 + -1x + x

Combine like terms: -1x + x = 0
-12 + x = 6 + 0
-12 + x = 6

Add '12' to each side of the equation.
-12 + 12 + x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + x = 6 + 12
x = 6 + 12

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

Simplifying
x = 18

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