How to solve 12/(x + 3) = 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 12/(x + 3) = 2 | Equatix

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$$\frac{12}{x+3}=2$$

$x=3$

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

$$12=2\left(x+3\right)$$

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

$$12=2x+6$$

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

$$2x+6=12$$

Subtract $6$ from both sides.

$$2x=12-6$$

Subtract $6$ from $12$ to get $6$.

$$2x=6$$

Divide both sides by $2$.

$$x=\frac{6}{2}$$

Divide $6$ by $2$ to get $3$.

$$x=3$$