5x+23=13x-65

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Solution for 5x+23=13x-65 equation:


Simplifying
5x + 23 = 13x + -65

Reorder the terms:
23 + 5x = 13x + -65

Reorder the terms:
23 + 5x = -65 + 13x

Solving
23 + 5x = -65 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
23 + 5x + -13x = -65 + 13x + -13x

Combine like terms: 5x + -13x = -8x
23 + -8x = -65 + 13x + -13x

Combine like terms: 13x + -13x = 0
23 + -8x = -65 + 0
23 + -8x = -65

Add '-23' to each side of the equation.
23 + -23 + -8x = -65 + -23

Combine like terms: 23 + -23 = 0
0 + -8x = -65 + -23
-8x = -65 + -23

Combine like terms: -65 + -23 = -88
-8x = -88

Divide each side by '-8'.
x = 11

Simplifying
x = 11

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