2x+33=12x-47

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Solution for 2x+33=12x-47 equation:


Simplifying
2x + 33 = 12x + -47

Reorder the terms:
33 + 2x = 12x + -47

Reorder the terms:
33 + 2x = -47 + 12x

Solving
33 + 2x = -47 + 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 = -47 + 12x + -12x

Combine like terms: 2x + -12x = -10x
33 + -10x = -47 + 12x + -12x

Combine like terms: 12x + -12x = 0
33 + -10x = -47 + 0
33 + -10x = -47

Add '-33' to each side of the equation.
33 + -33 + -10x = -47 + -33

Combine like terms: 33 + -33 = 0
0 + -10x = -47 + -33
-10x = -47 + -33

Combine like terms: -47 + -33 = -80
-10x = -80

Divide each side by '-10'.
x = 8

Simplifying
x = 8

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