2x+15=5x-33

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


Simplifying
2x + 15 = 5x + -33

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

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

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

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

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

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

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

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

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

Simplifying
x = 16

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