Simplify \(\frac{11}{2}x\) to \(\frac{11x}{2}\).
\[\frac{11x}{2}+\frac{5}{8}=\frac{3}{4}x-\frac{1}{8}\]
Simplify \(\frac{3}{4}x\) to \(\frac{3x}{4}\).
\[\frac{11x}{2}+\frac{5}{8}=\frac{3x}{4}-\frac{1}{8}\]
Multiply both sides by \(4\) (the LCM of \(2, 4\)).
\[22x+\frac{5}{2}=3x-\frac{1}{2}\]
Subtract \(3x\) from both sides.
\[22x+\frac{5}{2}-3x=-\frac{1}{2}\]
Simplify \(22x+\frac{5}{2}-3x\) to \(19x+\frac{5}{2}\).
\[19x+\frac{5}{2}=-\frac{1}{2}\]
Subtract \(\frac{5}{2}\) from both sides.
\[19x=-\frac{1}{2}-\frac{5}{2}\]
Simplify \(-\frac{1}{2}-\frac{5}{2}\) to \(-3\).
\[19x=-3\]
Divide both sides by \(19\).
\[x=-\frac{3}{19}\]
Decimal Form: -0.157895
x=-3/19
