3x+6-2x+7=5x-1-2x-12

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Solution for 3x+6-2x+7=5x-1-2x-12 equation: 


Simplifying
3x + 6 + -2x + 7 = 5x + -1 + -2x + -12

Reorder the terms:
6 + 7 + 3x + -2x = 5x + -1 + -2x + -12

Combine like terms: 6 + 7 = 13
13 + 3x + -2x = 5x + -1 + -2x + -12

Combine like terms: 3x + -2x = 1x
13 + 1x = 5x + -1 + -2x + -12

Reorder the terms:
13 + 1x = -1 + -12 + 5x + -2x

Combine like terms: -1 + -12 = -13
13 + 1x = -13 + 5x + -2x

Combine like terms: 5x + -2x = 3x
13 + 1x = -13 + 3x

Solving
13 + 1x = -13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
13 + 1x + -3x = -13 + 3x + -3x

Combine like terms: 1x + -3x = -2x
13 + -2x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -2x = -13 + 0
13 + -2x = -13

Add '-13' to each side of the equation.
13 + -13 + -2x = -13 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = -13 + -13
-2x = -13 + -13

Combine like terms: -13 + -13 = -26
-2x = -26

Divide each side by '-2'.
x = 13

Simplifying
x = 13

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