5x+33=13x-39

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Solution for 5x+33=13x-39 equation:


Simplifying
5x + 33 = 13x + -39

Reorder the terms:
33 + 5x = 13x + -39

Reorder the terms:
33 + 5x = -39 + 13x

Solving
33 + 5x = -39 + 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.
33 + 5x + -13x = -39 + 13x + -13x

Combine like terms: 5x + -13x = -8x
33 + -8x = -39 + 13x + -13x

Combine like terms: 13x + -13x = 0
33 + -8x = -39 + 0
33 + -8x = -39

Add '-33' to each side of the equation.
33 + -33 + -8x = -39 + -33

Combine like terms: 33 + -33 = 0
0 + -8x = -39 + -33
-8x = -39 + -33

Combine like terms: -39 + -33 = -72
-8x = -72

Divide each side by '-8'.
x = 9

Simplifying
x = 9

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