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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Question

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

Solve for x

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

Steps for Solving Linear Equation

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 $-\frac{1}{2}$.

$$x=\frac{2}{3}\left(-2\right)$$

Express $\frac{2}{3}\left(-2\right)$ as a single fraction.

$$x=\frac{2\left(-2\right)}{3}$$

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

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

Fraction $\frac{-4}{3}$ can be rewritten as $-\frac{4}{3}$ by extracting the negative sign.

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

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