5x+33=15x-17

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Solution for 5x+33=15x-17 equation:


Simplifying
5x + 33 = 15x + -17

Reorder the terms:
33 + 5x = 15x + -17

Reorder the terms:
33 + 5x = -17 + 15x

Solving
33 + 5x = -17 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
33 + 5x + -15x = -17 + 15x + -15x

Combine like terms: 5x + -15x = -10x
33 + -10x = -17 + 15x + -15x

Combine like terms: 15x + -15x = 0
33 + -10x = -17 + 0
33 + -10x = -17

Add '-33' to each side of the equation.
33 + -33 + -10x = -17 + -33

Combine like terms: 33 + -33 = 0
0 + -10x = -17 + -33
-10x = -17 + -33

Combine like terms: -17 + -33 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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