2x-12=5x+13

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Solution for 2x-12=5x+13 equation:


Simplifying
2x + -12 = 5x + 13

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

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

Solving
-12 + 2x = 13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + 2x + -5x = 13 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-12 + -3x = 13 + 0
-12 + -3x = 13

Add '12' to each side of the equation.
-12 + 12 + -3x = 13 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = 13 + 12
-3x = 13 + 12

Combine like terms: 13 + 12 = 25
-3x = 25

Divide each side by '-3'.
x = -8.333333333

Simplifying
x = -8.333333333

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