Multiply both sides by \(15\) (the LCM of \(5, 3\)).
\[3(x-3)=5(x-5)\]
Expand.
\[3x-9=5x-25\]
Subtract \(3x\) from both sides.
\[-9=5x-25-3x\]
Simplify \(5x-25-3x\) to \(2x-25\).
\[-9=2x-25\]
Add \(25\) to both sides.
\[-9+25=2x\]
Simplify \(-9+25\) to \(16\).
\[16=2x\]
Divide both sides by \(2\).
\[\frac{16}{2}=x\]
Simplify \(\frac{16}{2}\) to \(8\).
\[8=x\]
Switch sides.
\[x=8\]
x=8
