Multiply both sides by \(8\) (the LCM of \(4, 8\)).
\[48-2x=x\]
Add \(2x\) to both sides.
\[48=x+2x\]
Simplify \(x+2x\) to \(3x\).
\[48=3x\]
Divide both sides by \(3\).
\[\frac{48}{3}=x\]
Simplify \(\frac{48}{3}\) to \(16\).
\[16=x\]
Switch sides.
\[x=16\]
x=16