3x+33=2x-75

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Solution for 3x+33=2x-75 equation:


Simplifying
3x + 33 = 2x + -75

Reorder the terms:
33 + 3x = 2x + -75

Reorder the terms:
33 + 3x = -75 + 2x

Solving
33 + 3x = -75 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
33 + 3x + -2x = -75 + 2x + -2x

Combine like terms: 3x + -2x = 1x
33 + 1x = -75 + 2x + -2x

Combine like terms: 2x + -2x = 0
33 + 1x = -75 + 0
33 + 1x = -75

Add '-33' to each side of the equation.
33 + -33 + 1x = -75 + -33

Combine like terms: 33 + -33 = 0
0 + 1x = -75 + -33
1x = -75 + -33

Combine like terms: -75 + -33 = -108
1x = -108

Divide each side by '1'.
x = -108

Simplifying
x = -108

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