5x+13=2x-8

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Solution for 5x+13=2x-8 equation:


Simplifying
5x + 13 = 2x + -8

Reorder the terms:
13 + 5x = 2x + -8

Reorder the terms:
13 + 5x = -8 + 2x

Solving
13 + 5x = -8 + 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.
13 + 5x + -2x = -8 + 2x + -2x

Combine like terms: 5x + -2x = 3x
13 + 3x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + 3x = -8 + 0
13 + 3x = -8

Add '-13' to each side of the equation.
13 + -13 + 3x = -8 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = -8 + -13
3x = -8 + -13

Combine like terms: -8 + -13 = -21
3x = -21

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

Simplifying
x = -7

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