Factor out the common term \(2\).
\[\frac{7x+3}{5}=\frac{2(3x-1)}{2}\]
Cancel \(2\).
\[\frac{7x+3}{5}=3x-1\]
Multiply both sides by \(5\).
\[7x+3=15x-5\]
Subtract \(7x\) from both sides.
\[3=15x-5-7x\]
Simplify \(15x-5-7x\) to \(8x-5\).
\[3=8x-5\]
Add \(5\) to both sides.
\[3+5=8x\]
Simplify \(3+5\) to \(8\).
\[8=8x\]
Divide both sides by \(8\).
\[1=x\]
Switch sides.
\[x=1\]
x=1
