5x-9=2x+33

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Solution for 5x-9=2x+33 equation:


Simplifying
5x + -9 = 2x + 33

Reorder the terms:
-9 + 5x = 2x + 33

Reorder the terms:
-9 + 5x = 33 + 2x

Solving
-9 + 5x = 33 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + 5x + -2x = 33 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-9 + 3x = 33 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 3x = 33 + 0
-9 + 3x = 33

Add '9' to each side of the equation.
-9 + 9 + 3x = 33 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 33 + 9
3x = 33 + 9

Combine like terms: 33 + 9 = 42
3x = 42

Divide each side by '3'.
x = 14

Simplifying
x = 14

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