Expand.
\[5x-4x+14=6x-2+\frac{7}{2}\]
Simplify \(5x-4x+14\) to \(x+14\).
\[x+14=6x-2+\frac{7}{2}\]
Simplify \(6x-2+\frac{7}{2}\) to \(6x+\frac{3}{2}\).
\[x+14=6x+\frac{3}{2}\]
Subtract \(x\) from both sides.
\[14=6x+\frac{3}{2}-x\]
Simplify \(6x+\frac{3}{2}-x\) to \(5x+\frac{3}{2}\).
\[14=5x+\frac{3}{2}\]
Subtract \(\frac{3}{2}\) from both sides.
\[14-\frac{3}{2}=5x\]
Simplify \(14-\frac{3}{2}\) to \(\frac{25}{2}\).
\[\frac{25}{2}=5x\]
Divide both sides by \(5\).
\[\frac{\frac{25}{2}}{5}=x\]
Simplify \(\frac{\frac{25}{2}}{5}\) to \(\frac{25}{2\times 5}\).
\[\frac{25}{2\times 5}=x\]
Simplify \(2\times 5\) to \(10\).
\[\frac{25}{10}=x\]
Simplify \(\frac{25}{10}\) to \(\frac{5}{2}\).
\[\frac{5}{2}=x\]
Switch sides.
\[x=\frac{5}{2}\]
Decimal Form: 2.5
x=5/2
