9(x+4)=11(x-2)

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Solution for 9(x+4)=11(x-2) equation: 


Simplifying
9(x + 4) = 11(x + -2)

Reorder the terms:
9(4 + x) = 11(x + -2)
(4 * 9 + x * 9) = 11(x + -2)
(36 + 9x) = 11(x + -2)

Reorder the terms:
36 + 9x = 11(-2 + x)
36 + 9x = (-2 * 11 + x * 11)
36 + 9x = (-22 + 11x)

Solving
36 + 9x = -22 + 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.
36 + 9x + -11x = -22 + 11x + -11x

Combine like terms: 9x + -11x = -2x
36 + -2x = -22 + 11x + -11x

Combine like terms: 11x + -11x = 0
36 + -2x = -22 + 0
36 + -2x = -22

Add '-36' to each side of the equation.
36 + -36 + -2x = -22 + -36

Combine like terms: 36 + -36 = 0
0 + -2x = -22 + -36
-2x = -22 + -36

Combine like terms: -22 + -36 = -58
-2x = -58

Divide each side by '-2'.
x = 29

Simplifying
x = 29

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