Multiply both sides by \(6\) (the LCM of \(3, 2\)).
\[4(\frac{x}{8}-\frac{3}{4})=3x-\frac{1}{2}\]
Expand.
\[\frac{x}{2}-3=3x-\frac{1}{2}\]
Multiply both sides by \(2\).
\[x-6=6x-1\]
Subtract \(x\) from both sides.
\[-6=6x-1-x\]
Simplify \(6x-1-x\) to \(5x-1\).
\[-6=5x-1\]
Add \(1\) to both sides.
\[-6+1=5x\]
Simplify \(-6+1\) to \(-5\).
\[-5=5x\]
Divide both sides by \(5\).
\[-1=x\]
Switch sides.
\[x=-1\]
x=-1
