5x-13=3x+23

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Solution for 5x-13=3x+23 equation:


Simplifying
5x + -13 = 3x + 23

Reorder the terms:
-13 + 5x = 3x + 23

Reorder the terms:
-13 + 5x = 23 + 3x

Solving
-13 + 5x = 23 + 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 + 5x + -3x = 23 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-13 + 2x = 23 + 0
-13 + 2x = 23

Add '13' to each side of the equation.
-13 + 13 + 2x = 23 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = 23 + 13
2x = 23 + 13

Combine like terms: 23 + 13 = 36
2x = 36

Divide each side by '2'.
x = 18

Simplifying
x = 18

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