Evaluate: 4 x =-/(2) 7

Expression: $$4 x = - \frac { 2 } { 7 }$$

Divide both sides by $4$.

$$x=\frac{-\frac{2}{7}}{4}$$

Express $\frac{-\frac{2}{7}}{4}$ as a single fraction.

$$x=\frac{-2}{7\times 4}$$

Multiply $7$ and $4$ to get $28$.

$$x=\frac{-2}{28}$$

Reduce the fraction $\frac{-2}{28}$ to lowest terms by extracting and canceling out $2$.

$$x=-\frac{1}{14}$$