3x+33=12x-57

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Solution for 3x+33=12x-57 equation:


Simplifying
3x + 33 = 12x + -57

Reorder the terms:
33 + 3x = 12x + -57

Reorder the terms:
33 + 3x = -57 + 12x

Solving
33 + 3x = -57 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
33 + 3x + -12x = -57 + 12x + -12x

Combine like terms: 3x + -12x = -9x
33 + -9x = -57 + 12x + -12x

Combine like terms: 12x + -12x = 0
33 + -9x = -57 + 0
33 + -9x = -57

Add '-33' to each side of the equation.
33 + -33 + -9x = -57 + -33

Combine like terms: 33 + -33 = 0
0 + -9x = -57 + -33
-9x = -57 + -33

Combine like terms: -57 + -33 = -90
-9x = -90

Divide each side by '-9'.
x = 10

Simplifying
x = 10

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