3x-12+5x=7x-8-x

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Solution for 3x-12+5x=7x-8-x equation:


Simplifying
3x + -12 + 5x = 7x + -8 + -1x

Reorder the terms:
-12 + 3x + 5x = 7x + -8 + -1x

Combine like terms: 3x + 5x = 8x
-12 + 8x = 7x + -8 + -1x

Reorder the terms:
-12 + 8x = -8 + 7x + -1x

Combine like terms: 7x + -1x = 6x
-12 + 8x = -8 + 6x

Solving
-12 + 8x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + 8x + -6x = -8 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-12 + 2x = -8 + 0
-12 + 2x = -8

Add '12' to each side of the equation.
-12 + 12 + 2x = -8 + 12

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

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

Divide each side by '2'.
x = 2

Simplifying
x = 2

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