3x+5-7x=2x-8-x-12

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Solution for 3x+5-7x=2x-8-x-12 equation: 


Simplifying
3x + 5 + -7x = 2x + -8 + -1x + -12

Reorder the terms:
5 + 3x + -7x = 2x + -8 + -1x + -12

Combine like terms: 3x + -7x = -4x
5 + -4x = 2x + -8 + -1x + -12

Reorder the terms:
5 + -4x = -8 + -12 + 2x + -1x

Combine like terms: -8 + -12 = -20
5 + -4x = -20 + 2x + -1x

Combine like terms: 2x + -1x = 1x
5 + -4x = -20 + 1x

Solving
5 + -4x = -20 + 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.
5 + -4x + -1x = -20 + 1x + -1x

Combine like terms: -4x + -1x = -5x
5 + -5x = -20 + 1x + -1x

Combine like terms: 1x + -1x = 0
5 + -5x = -20 + 0
5 + -5x = -20

Add '-5' to each side of the equation.
5 + -5 + -5x = -20 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = -20 + -5
-5x = -20 + -5

Combine like terms: -20 + -5 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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