Question

$$6x+4/3=x-3/6$$

Answer

x=-11/30

Solution


Simplify  \(\frac{3}{6}\)  to  \(\frac{1}{2}\).
\[6x+\frac{4}{3}=x-\frac{1}{2}\]
Subtract \(x\) from both sides.
\[6x+\frac{4}{3}-x=-\frac{1}{2}\]
Simplify  \(6x+\frac{4}{3}-x\)  to  \(5x+\frac{4}{3}\).
\[5x+\frac{4}{3}=-\frac{1}{2}\]
Subtract \(\frac{4}{3}\) from both sides.
\[5x=-\frac{1}{2}-\frac{4}{3}\]
Simplify  \(-\frac{1}{2}-\frac{4}{3}\)  to  \(-\frac{11}{6}\).
\[5x=-\frac{11}{6}\]
Divide both sides by \(5\).
\[x=-\frac{\frac{11}{6}}{5}\]
Simplify  \(\frac{\frac{11}{6}}{5}\)  to  \(\frac{11}{6\times 5}\).
\[x=-\frac{11}{6\times 5}\]
Simplify  \(6\times 5\)  to  \(30\).
\[x=-\frac{11}{30}\]

Decimal Form: -0.366667