Multiply both sides by \(10\) (the LCM of \(2, 5\)).
\[5(x+1)-2(x+3)=8\]
Expand.
\[5x+5-2x-6=8\]
Simplify \(5x+5-2x-6\) to \(3x-1\).
\[3x-1=8\]
Add \(1\) to both sides.
\[3x=8+1\]
Simplify \(8+1\) to \(9\).
\[3x=9\]
Divide both sides by \(3\).
\[x=\frac{9}{3}\]
Simplify \(\frac{9}{3}\) to \(3\).
\[x=3\]
x=3
