6x-8x+x-12=6-2x+3x

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Solution for 6x-8x+x-12=6-2x+3x equation:


Simplifying
6x + -8x + x + -12 = 6 + -2x + 3x

Reorder the terms:
-12 + 6x + -8x + x = 6 + -2x + 3x

Combine like terms: 6x + -8x = -2x
-12 + -2x + x = 6 + -2x + 3x

Combine like terms: -2x + x = -1x
-12 + -1x = 6 + -2x + 3x

Combine like terms: -2x + 3x = 1x
-12 + -1x = 6 + 1x

Solving
-12 + -1x = 6 + 1x

Solving for variable 'x'.

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

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

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

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

Add '12' to each side of the equation.
-12 + 12 + -2x = 6 + 12

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

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

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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