Solve for p
p=17
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3\left(p-5\right)=2\left(p+1\right)
Variable p cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 3\left(p+1\right), the least common multiple of p+1,3.
3p-15=2\left(p+1\right)
Use the distributive property to multiply 3 by p-5.
3p-15=2p+2
Use the distributive property to multiply 2 by p+1.
3p-15-2p=2
Subtract 2p from both sides.
p-15=2
Combine 3p and -2p to get p.
p=2+15
Add 15 to both sides.
p=17
Add 2 and 15 to get 17.
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