Evaluate: /(2) 5-/(32) 10 x = 2

Expression: $$\frac { 2 } { 5 } - \frac { 32 } { 10 x } = 2$$

Variable $x$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $10x$, the least common multiple of $5,10x$.

$$10x\times \left(\frac{2}{5}\right)-32=20x$$

Multiply $10$ and $\frac{2}{5}$ to get $4$.

$$4x-32=20x$$

Subtract $20x$ from both sides.

$$4x-32-20x=0$$

Combine $4x$ and $-20x$ to get $-16x$.

$$-16x-32=0$$

Add $32$ to both sides. Anything plus zero gives itself.

$$-16x=32$$

Divide both sides by $-16$.

$$x=\frac{32}{-16}$$

Divide $32$ by $-16$ to get $-2$.

$$x=-2$$