2x+33=8x-12

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Solution for 2x+33=8x-12 equation:


Simplifying
2x + 33 = 8x + -12

Reorder the terms:
33 + 2x = 8x + -12

Reorder the terms:
33 + 2x = -12 + 8x

Solving
33 + 2x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
33 + 2x + -8x = -12 + 8x + -8x

Combine like terms: 2x + -8x = -6x
33 + -6x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
33 + -6x = -12 + 0
33 + -6x = -12

Add '-33' to each side of the equation.
33 + -33 + -6x = -12 + -33

Combine like terms: 33 + -33 = 0
0 + -6x = -12 + -33
-6x = -12 + -33

Combine like terms: -12 + -33 = -45
-6x = -45

Divide each side by '-6'.
x = 7.5

Simplifying
x = 7.5

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