5x+33=12x-51

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Solution for 5x+33=12x-51 equation:


Simplifying
5x + 33 = 12x + -51

Reorder the terms:
33 + 5x = 12x + -51

Reorder the terms:
33 + 5x = -51 + 12x

Solving
33 + 5x = -51 + 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 + 5x + -12x = -51 + 12x + -12x

Combine like terms: 5x + -12x = -7x
33 + -7x = -51 + 12x + -12x

Combine like terms: 12x + -12x = 0
33 + -7x = -51 + 0
33 + -7x = -51

Add '-33' to each side of the equation.
33 + -33 + -7x = -51 + -33

Combine like terms: 33 + -33 = 0
0 + -7x = -51 + -33
-7x = -51 + -33

Combine like terms: -51 + -33 = -84
-7x = -84

Divide each side by '-7'.
x = 12

Simplifying
x = 12

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