6x+9=11x-6

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Solution for 6x+9=11x-6 equation:


Simplifying
6x + 9 = 11x + -6

Reorder the terms:
9 + 6x = 11x + -6

Reorder the terms:
9 + 6x = -6 + 11x

Solving
9 + 6x = -6 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
9 + 6x + -11x = -6 + 11x + -11x

Combine like terms: 6x + -11x = -5x
9 + -5x = -6 + 11x + -11x

Combine like terms: 11x + -11x = 0
9 + -5x = -6 + 0
9 + -5x = -6

Add '-9' to each side of the equation.
9 + -9 + -5x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -6 + -9
-5x = -6 + -9

Combine like terms: -6 + -9 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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