Solve for x
x=6
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x+9-5x=\left(x-9\right)\times 5
Variable x cannot be equal to any of the values -9,9 since division by zero is not defined. Multiply both sides of the equation by \left(x-9\right)\left(x+9\right), the least common multiple of x-9,x^{2}-81,x+9.
-4x+9=\left(x-9\right)\times 5
Combine x and -5x to get -4x.
-4x+9=5x-45
Use the distributive property to multiply x-9 by 5.
-4x+9-5x=-45
Subtract 5x from both sides.
-9x+9=-45
Combine -4x and -5x to get -9x.
-9x=-45-9
Subtract 9 from both sides.
-9x=-54
Subtract 9 from -45 to get -54.
x=\frac{-54}{-9}
Divide both sides by -9.
x=6
Divide -54 by -9 to get 6.
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