Evaluate: /(8 x) 3 = /(12) 9

Expression: $$\frac { 8 x } { 3 } = \frac { 12 } { 9 }$$

Multiply both sides of the equation by $9$, the least common multiple of $3,9$.

$$3\times 8x=12$$

Multiply $3$ and $8$ to get $24$.

$$24x=12$$

Divide both sides by $24$.

$$x=\frac{12}{24}$$

Reduce the fraction $\frac{12}{24}$ to lowest terms by extracting and canceling out $12$.

$$x=\frac{1}{2}$$