Solve for p
p=\frac{5x-2}{9}
Solve for x
x=\frac{9p+2}{5}
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\frac{5}{9}x-\frac{2}{9}=p
Divide each term of 5x-2 by 9 to get \frac{5}{9}x-\frac{2}{9}.
p=\frac{5}{9}x-\frac{2}{9}
Swap sides so that all variable terms are on the left hand side.
\frac{5}{9}x-\frac{2}{9}=p
Divide each term of 5x-2 by 9 to get \frac{5}{9}x-\frac{2}{9}.
\frac{5}{9}x=p+\frac{2}{9}
Add \frac{2}{9} to both sides.
\frac{\frac{5}{9}x}{\frac{5}{9}}=\frac{p+\frac{2}{9}}{\frac{5}{9}}
Divide both sides of the equation by \frac{5}{9}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{p+\frac{2}{9}}{\frac{5}{9}}
Dividing by \frac{5}{9} undoes the multiplication by \frac{5}{9}.
x=\frac{9p+2}{5}
Divide p+\frac{2}{9} by \frac{5}{9} by multiplying p+\frac{2}{9} by the reciprocal of \frac{5}{9}.
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