How to solve (3 + x)/x = 5 .

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (3 + x)/x = 5 . | Equatix

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$$\frac { 3 + n } { n } = 5$$

$n=\frac{3}{4}=0.75$

Variable $n$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $n$.

$$3+n=5n$$

Subtract $5n$ from both sides.

$$3+n-5n=0$$

Combine $n$ and $-5n$ to get $-4n$.

$$3-4n=0$$

Subtract $3$ from both sides. Anything subtracted from zero gives its negation.

$$-4n=-3$$

Divide both sides by $-4$.

$$n=\frac{-3}{-4}$$

Fraction $\frac{-3}{-4}$ can be simplified to $\frac{3}{4}$ by removing the negative sign from both the numerator and the denominator.

$$n=\frac{3}{4}$$