3x-15=5x+33

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Solution for 3x-15=5x+33 equation:


Simplifying
3x + -15 = 5x + 33

Reorder the terms:
-15 + 3x = 5x + 33

Reorder the terms:
-15 + 3x = 33 + 5x

Solving
-15 + 3x = 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 + 3x + -5x = 33 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-15 + -2x = 33 + 0
-15 + -2x = 33

Add '15' to each side of the equation.
-15 + 15 + -2x = 33 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = 33 + 15
-2x = 33 + 15

Combine like terms: 33 + 15 = 48
-2x = 48

Divide each side by '-2'.
x = -24

Simplifying
x = -24

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