42+3x-9=11x-9-2x

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Solution for 42+3x-9=11x-9-2x equation:


Simplifying
42 + 3x + -9 = 11x + -9 + -2x

Reorder the terms:
42 + -9 + 3x = 11x + -9 + -2x

Combine like terms: 42 + -9 = 33
33 + 3x = 11x + -9 + -2x

Reorder the terms:
33 + 3x = -9 + 11x + -2x

Combine like terms: 11x + -2x = 9x
33 + 3x = -9 + 9x

Solving
33 + 3x = -9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
33 + 3x + -9x = -9 + 9x + -9x

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

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

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

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

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

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

Simplifying
x = 7

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