5x+33=3x-31

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Solution for 5x+33=3x-31 equation:


Simplifying
5x + 33 = 3x + -31

Reorder the terms:
33 + 5x = 3x + -31

Reorder the terms:
33 + 5x = -31 + 3x

Solving
33 + 5x = -31 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
33 + 5x + -3x = -31 + 3x + -3x

Combine like terms: 5x + -3x = 2x
33 + 2x = -31 + 3x + -3x

Combine like terms: 3x + -3x = 0
33 + 2x = -31 + 0
33 + 2x = -31

Add '-33' to each side of the equation.
33 + -33 + 2x = -31 + -33

Combine like terms: 33 + -33 = 0
0 + 2x = -31 + -33
2x = -31 + -33

Combine like terms: -31 + -33 = -64
2x = -64

Divide each side by '2'.
x = -32

Simplifying
x = -32

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