2x+23=5x-19

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Solution for 2x+23=5x-19 equation:


Simplifying
2x + 23 = 5x + -19

Reorder the terms:
23 + 2x = 5x + -19

Reorder the terms:
23 + 2x = -19 + 5x

Solving
23 + 2x = -19 + 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.
23 + 2x + -5x = -19 + 5x + -5x

Combine like terms: 2x + -5x = -3x
23 + -3x = -19 + 5x + -5x

Combine like terms: 5x + -5x = 0
23 + -3x = -19 + 0
23 + -3x = -19

Add '-23' to each side of the equation.
23 + -23 + -3x = -19 + -23

Combine like terms: 23 + -23 = 0
0 + -3x = -19 + -23
-3x = -19 + -23

Combine like terms: -19 + -23 = -42
-3x = -42

Divide each side by '-3'.
x = 14

Simplifying
x = 14

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