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\frac{5}{-x}=9-2^{2}
Calculate 3 to the power of 2 and get 9.
\frac{5}{-x}=9-4
Calculate 2 to the power of 2 and get 4.
\frac{5}{-x}=5
Subtract 4 from 9 to get 5.
-5=5x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
5x=-5
Swap sides so that all variable terms are on the left hand side.
x=\frac{-5}{5}
Divide both sides by 5.
x=-1
Divide -5 by 5 to get -1.