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 \(3x-11\).
\[3x-11=8\]
Add \(11\) to both sides.
\[3x=8+11\]
Simplify \(8+11\) to \(19\).
\[3x=19\]
Divide both sides by \(3\).
\[x=\frac{19}{3}\]
Decimal Form: 6.333333
x=19/3
