Question

$$x-3=x-1/2-x-2/3$$

Answer

x=11/6

Solution


Cancel \(x\) on both sides.
\[-3=-\frac{1}{2}-x-\frac{2}{3}\]
Simplify  \(-\frac{1}{2}-x-\frac{2}{3}\)  to  \(-x-\frac{7}{6}\).
\[-3=-x-\frac{7}{6}\]
Add \(\frac{7}{6}\) to both sides.
\[-3+\frac{7}{6}=-x\]
Simplify  \(-3+\frac{7}{6}\)  to  \(-\frac{11}{6}\).
\[-\frac{11}{6}=-x\]
Multiply both sides by \(-1\).
\[\frac{11}{6}=x\]
Switch sides.
\[x=\frac{11}{6}\]

Decimal Form: 1.833333