How to solve 2/4x-1/3=4/12

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 2/4x-1/3=4/12 | Equatix

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$$2/4x-1/3=4/12$$

$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$

Reduce the fraction $\frac{2}{4}$ to lowest terms by extracting and canceling out $2$.

$$\frac{1}{2}x-\frac{1}{3}=\frac{4}{12}$$

Reduce the fraction $\frac{4}{12}$ to lowest terms by extracting and canceling out $4$.

$$\frac{1}{2}x-\frac{1}{3}=\frac{1}{3}$$

Add $\frac{1}{3}$ to both sides.

$$\frac{1}{2}x=\frac{1}{3}+\frac{1}{3}$$

Since $\frac{1}{3}$ and $\frac{1}{3}$ have the same denominator, add them by adding their numerators.

$$\frac{1}{2}x=\frac{1+1}{3}$$

Add $1$ and $1$ to get $2$.

$$\frac{1}{2}x=\frac{2}{3}$$

Multiply both sides by $2$, the reciprocal of $\frac{1}{2}$.

$$x=\frac{2}{3}\times 2$$

Express $\frac{2}{3}\times 2$ as a single fraction.

$$x=\frac{2\times 2}{3}$$

Multiply $2$ and $2$ to get $4$.

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