How to solve (x + 4)/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 (x + 4)/x = 5 | Equatix

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$$\frac{x+4}{x}=5$$

$x=1$

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

$$x+4=5x$$

Subtract $5x$ from both sides.

$$x+4-5x=0$$

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

$$-4x+4=0$$

Subtract $4$ from both sides. Anything subtracted from zero gives its negation.

$$-4x=-4$$

Divide both sides by $-4$.

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

Divide $-4$ by $-4$ to get $1$.

$$x=1$$