Simplify \(\frac{1}{4}x\) to \(\frac{x}{4}\).
\[\frac{x}{4}+\frac{1}{2}=\frac{1}{6}x+2\]
Simplify \(\frac{1}{6}x\) to \(\frac{x}{6}\).
\[\frac{x}{4}+\frac{1}{2}=\frac{x}{6}+2\]
Multiply both sides by \(12\) (the LCM of \(4, 6\)).
\[3x+6=2x+24\]
Subtract \(6\) from both sides.
\[3x=2x+24-6\]
Simplify \(2x+24-6\) to \(2x+18\).
\[3x=2x+18\]
Subtract \(2x\) from both sides.
\[3x-2x=18\]
Simplify \(3x-2x\) to \(x\).
\[x=18\]
x=18
