2x+33=12x-27

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Solution for 2x+33=12x-27 equation:


Simplifying
2x + 33 = 12x + -27

Reorder the terms:
33 + 2x = 12x + -27

Reorder the terms:
33 + 2x = -27 + 12x

Solving
33 + 2x = -27 + 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 + 2x + -12x = -27 + 12x + -12x

Combine like terms: 2x + -12x = -10x
33 + -10x = -27 + 12x + -12x

Combine like terms: 12x + -12x = 0
33 + -10x = -27 + 0
33 + -10x = -27

Add '-33' to each side of the equation.
33 + -33 + -10x = -27 + -33

Combine like terms: 33 + -33 = 0
0 + -10x = -27 + -33
-10x = -27 + -33

Combine like terms: -27 + -33 = -60
-10x = -60

Divide each side by '-10'.
x = 6

Simplifying
x = 6

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