Break down the problem into these 2 equations.
\[12p-5=25\]
\[12p-5=p\]
Solve the 1st equation: \(12p-5=25\).
Add \(5\) to both sides.
\[12p=25+5\]
Simplify \(25+5\) to \(30\).
\[12p=30\]
Divide both sides by \(12\).
\[p=\frac{30}{12}\]
Simplify \(\frac{30}{12}\) to \(\frac{5}{2}\).
\[p=\frac{5}{2}\]
\[p=\frac{5}{2}\]
Solve the 2nd equation: \(12p-5=p\).
Subtract \(12p\) from both sides.
\[-5=p-12p\]
Simplify \(p-12p\) to \(-11p\).
\[-5=-11p\]
Divide both sides by \(-11\).
\[\frac{-5}{-11}=p\]
Two negatives make a positive.
\[\frac{5}{11}=p\]
Switch sides.
\[p=\frac{5}{11}\]
\[p=\frac{5}{11}\]
Collect all solutions.
\[p=\frac{5}{2},\frac{5}{11}\]
p=5/2,5/11
