How to solve x / (- 7/8) = 4/3

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 x / (- 7/8) = 4/3 | Equatix

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Question

$$x:(\frac{-7}{8})=\frac{4}{3}$$

Solve for x

$x = -\frac{7}{6} = -1\frac{1}{6} \approx -1.166666667$

Steps for Solving Linear Equation

Divide $x$ by $\frac{-7}{8}$ by multiplying $x$ by the reciprocal of $\frac{-7}{8}$.

$$\frac{x\times 8}{-7}=\frac{4}{3}$$

Multiply both sides by $-7$.

$$x\times 8=\frac{4}{3}\left(-7\right)$$

Express $\frac{4}{3}\left(-7\right)$ as a single fraction.

$$x\times 8=\frac{4\left(-7\right)}{3}$$

Multiply $4$ and $-7$ to get $-28$.

$$x\times 8=\frac{-28}{3}$$

Fraction $\frac{-28}{3}$ can be rewritten as $-\frac{28}{3}$ by extracting the negative sign.

$$x\times 8=-\frac{28}{3}$$

Divide both sides by $8$.

$$x=\frac{-\frac{28}{3}}{8}$$

Express $\frac{-\frac{28}{3}}{8}$ as a single fraction.

$$x=\frac{-28}{3\times 8}$$

Multiply $3$ and $8$ to get $24$.

$$x=\frac{-28}{24}$$

Reduce the fraction $\frac{-28}{24}$ to lowest terms by extracting and canceling out $4$.

$$x=-\frac{7}{6}$$

Show Solution