9(x+3)=11x-13

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Solution for 9(x+3)=11x-13 equation:


Simplifying
9(x + 3) = 11x + -13

Reorder the terms:
9(3 + x) = 11x + -13
(3 * 9 + x * 9) = 11x + -13
(27 + 9x) = 11x + -13

Reorder the terms:
27 + 9x = -13 + 11x

Solving
27 + 9x = -13 + 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.
27 + 9x + -11x = -13 + 11x + -11x

Combine like terms: 9x + -11x = -2x
27 + -2x = -13 + 11x + -11x

Combine like terms: 11x + -11x = 0
27 + -2x = -13 + 0
27 + -2x = -13

Add '-27' to each side of the equation.
27 + -27 + -2x = -13 + -27

Combine like terms: 27 + -27 = 0
0 + -2x = -13 + -27
-2x = -13 + -27

Combine like terms: -13 + -27 = -40
-2x = -40

Divide each side by '-2'.
x = 20

Simplifying
x = 20

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