Simplify \(\frac{1}{4}(x-3)\) to \(\frac{x-3}{4}\).
\[\frac{x-3}{4}=x+1.5\]
Multiply both sides by \(4\).
\[x-3=4x+6\]
Subtract \(x\) from both sides.
\[-3=4x+6-x\]
Simplify \(4x+6-x\) to \(3x+6\).
\[-3=3x+6\]
Subtract \(6\) from both sides.
\[-3-6=3x\]
Simplify \(-3-6\) to \(-9\).
\[-9=3x\]
Divide both sides by \(3\).
\[-\frac{9}{3}=x\]
Simplify \(\frac{9}{3}\) to \(3\).
\[-3=x\]
Switch sides.
\[x=-3\]
x=-3