Multiply both sides by \(10\) (the LCM of \(2, 5\)).
\[5x-2=2x+\frac{5}{2}\]
Add \(2\) to both sides.
\[5x=2x+\frac{5}{2}+2\]
Simplify \(2x+\frac{5}{2}+2\) to \(2x+\frac{9}{2}\).
\[5x=2x+\frac{9}{2}\]
Subtract \(2x\) from both sides.
\[5x-2x=\frac{9}{2}\]
Simplify \(5x-2x\) to \(3x\).
\[3x=\frac{9}{2}\]
Divide both sides by \(3\).
\[x=\frac{\frac{9}{2}}{3}\]
Simplify \(\frac{\frac{9}{2}}{3}\) to \(\frac{9}{2\times 3}\).
\[x=\frac{9}{2\times 3}\]
Simplify \(2\times 3\) to \(6\).
\[x=\frac{9}{6}\]
Simplify \(\frac{9}{6}\) to \(\frac{3}{2}\).
\[x=\frac{3}{2}\]
Decimal Form: 1.5
x=3/2
