3x+31=11x-33

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


Simplifying
3x + 31 = 11x + -33

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

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

Solving
31 + 3x = -33 + 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.
31 + 3x + -11x = -33 + 11x + -11x

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

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

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

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

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

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

Simplifying
x = 8

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