Solve for p
p=\frac{7}{x+2}
x\neq -2
Solve for x
x=-2+\frac{7}{p}
p\neq 0
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7=p\left(x+2\right)
Multiply both sides of the equation by x+2.
7=px+2p
Use the distributive property to multiply p by x+2.
px+2p=7
Swap sides so that all variable terms are on the left hand side.
\left(x+2\right)p=7
Combine all terms containing p.
\frac{\left(x+2\right)p}{x+2}=\frac{7}{x+2}
Divide both sides by x+2.
p=\frac{7}{x+2}
Dividing by x+2 undoes the multiplication by x+2.
7=p\left(x+2\right)
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.
7=px+2p
Use the distributive property to multiply p by x+2.
px+2p=7
Swap sides so that all variable terms are on the left hand side.
px=7-2p
Subtract 2p from both sides.
\frac{px}{p}=\frac{7-2p}{p}
Divide both sides by p.
x=\frac{7-2p}{p}
Dividing by p undoes the multiplication by p.
x=-2+\frac{7}{p}
Divide 7-2p by p.
x=-2+\frac{7}{p}\text{, }x\neq -2
Variable x cannot be equal to -2.
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