How to solve (5 - x)/(4x) = 1

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 (5 - x)/(4x) = 1 | Equatix

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$$\frac{5-x}{4x}=1$$

$x=1$

Variable $x$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $4x$.

$$5-x=4x$$

Subtract $4x$ from both sides.

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

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

$$5-5x=0$$

Subtract $5$ from both sides. Anything subtracted from zero gives its negation.

$$-5x=-5$$

Divide both sides by $-5$.

$$x=\frac{-5}{-5}$$

Divide $-5$ by $-5$ to get $1$.

$$x=1$$