2x+13=5x-23

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Solution for 2x+13=5x-23 equation:


Simplifying
2x + 13 = 5x + -23

Reorder the terms:
13 + 2x = 5x + -23

Reorder the terms:
13 + 2x = -23 + 5x

Solving
13 + 2x = -23 + 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.
13 + 2x + -5x = -23 + 5x + -5x

Combine like terms: 2x + -5x = -3x
13 + -3x = -23 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -3x = -23 + 0
13 + -3x = -23

Add '-13' to each side of the equation.
13 + -13 + -3x = -23 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = -23 + -13
-3x = -23 + -13

Combine like terms: -23 + -13 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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