6x+9=12x-33

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Solution for 6x+9=12x-33 equation:


Simplifying
6x + 9 = 12x + -33

Reorder the terms:
9 + 6x = 12x + -33

Reorder the terms:
9 + 6x = -33 + 12x

Solving
9 + 6x = -33 + 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.
9 + 6x + -12x = -33 + 12x + -12x

Combine like terms: 6x + -12x = -6x
9 + -6x = -33 + 12x + -12x

Combine like terms: 12x + -12x = 0
9 + -6x = -33 + 0
9 + -6x = -33

Add '-9' to each side of the equation.
9 + -9 + -6x = -33 + -9

Combine like terms: 9 + -9 = 0
0 + -6x = -33 + -9
-6x = -33 + -9

Combine like terms: -33 + -9 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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