9x-6=6x+33

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


Simplifying
9x + -6 = 6x + 33

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

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

Solving
-6 + 9x = 33 + 6x

Solving for variable 'x'.

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

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

Combine like terms: 9x + -6x = 3x
-6 + 3x = 33 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + 3x = 33 + 0
-6 + 3x = 33

Add '6' to each side of the equation.
-6 + 6 + 3x = 33 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 33 + 6
3x = 33 + 6

Combine like terms: 33 + 6 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

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