How to solve 4/(3 - x) = 2

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 4/(3 - x) = 2 | Equatix

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$$\frac{4}{3-x}=2.$$

$x=1$

Variable $x$ cannot be equal to $3$ since division by zero is not defined. Multiply both sides of the equation by $-x+3$.

$$4=2\left(-x+3\right)$$

Use the distributive property to multiply $2$ by $-x+3$.

$$4=-2x+6$$

Swap sides so that all variable terms are on the left hand side.

$$-2x+6=4$$

Subtract $6$ from both sides.

$$-2x=4-6$$

Subtract $6$ from $4$ to get $-2$.

$$-2x=-2$$

Divide both sides by $-2$.

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

Divide $-2$ by $-2$ to get $1$.

$$x=1$$