8-x+1=2x-12

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Solution for 8-x+1=2x-12 equation:


Simplifying
8 + -1x + 1 = 2x + -12

Reorder the terms:
8 + 1 + -1x = 2x + -12

Combine like terms: 8 + 1 = 9
9 + -1x = 2x + -12

Reorder the terms:
9 + -1x = -12 + 2x

Solving
9 + -1x = -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.
9 + -1x + -2x = -12 + 2x + -2x

Combine like terms: -1x + -2x = -3x
9 + -3x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -3x = -12 + 0
9 + -3x = -12

Add '-9' to each side of the equation.
9 + -9 + -3x = -12 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -12 + -9
-3x = -12 + -9

Combine like terms: -12 + -9 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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