2x+33=5x-15

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Solution for 2x+33=5x-15 equation:


Simplifying
2x + 33 = 5x + -15

Reorder the terms:
33 + 2x = 5x + -15

Reorder the terms:
33 + 2x = -15 + 5x

Solving
33 + 2x = -15 + 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.
33 + 2x + -5x = -15 + 5x + -5x

Combine like terms: 2x + -5x = -3x
33 + -3x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
33 + -3x = -15 + 0
33 + -3x = -15

Add '-33' to each side of the equation.
33 + -33 + -3x = -15 + -33

Combine like terms: 33 + -33 = 0
0 + -3x = -15 + -33
-3x = -15 + -33

Combine like terms: -15 + -33 = -48
-3x = -48

Divide each side by '-3'.
x = 16

Simplifying
x = 16

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