3x+33=11x-31

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Solution for 3x+33=11x-31 equation:


Simplifying
3x + 33 = 11x + -31

Reorder the terms:
33 + 3x = 11x + -31

Reorder the terms:
33 + 3x = -31 + 11x

Solving
33 + 3x = -31 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
33 + 3x + -11x = -31 + 11x + -11x

Combine like terms: 3x + -11x = -8x
33 + -8x = -31 + 11x + -11x

Combine like terms: 11x + -11x = 0
33 + -8x = -31 + 0
33 + -8x = -31

Add '-33' to each side of the equation.
33 + -33 + -8x = -31 + -33

Combine like terms: 33 + -33 = 0
0 + -8x = -31 + -33
-8x = -31 + -33

Combine like terms: -31 + -33 = -64
-8x = -64

Divide each side by '-8'.
x = 8

Simplifying
x = 8

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