How to solve -9/4-2/6x=1/8

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 -9/4-2/6x=1/8 | Equatix

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Question

$$-9/4-2/6x=1/8$$

Solve for x

$x = -\frac{57}{8} = -7\frac{1}{8} = -7.125$

Steps for Solving Linear Equation

Fraction $\frac{-9}{4}$ can be rewritten as $-\frac{9}{4}$ by extracting the negative sign.

$$-\frac{9}{4}-\frac{2}{6}x=\frac{1}{8}$$

Reduce the fraction $\frac{2}{6}$ to lowest terms by extracting and canceling out $2$.

$$-\frac{9}{4}-\frac{1}{3}x=\frac{1}{8}$$

Add $\frac{9}{4}$ to both sides.

$$-\frac{1}{3}x=\frac{1}{8}+\frac{9}{4}$$

Least common multiple of $8$ and $4$ is $8$. Convert $\frac{1}{8}$ and $\frac{9}{4}$ to fractions with denominator $8$.

$$-\frac{1}{3}x=\frac{1}{8}+\frac{18}{8}$$

Since $\frac{1}{8}$ and $\frac{18}{8}$ have the same denominator, add them by adding their numerators.

$$-\frac{1}{3}x=\frac{1+18}{8}$$

Add $1$ and $18$ to get $19$.

$$-\frac{1}{3}x=\frac{19}{8}$$

Multiply both sides by $-3$, the reciprocal of $-\frac{1}{3}$.

$$x=\frac{19}{8}\left(-3\right)$$

Express $\frac{19}{8}\left(-3\right)$ as a single fraction.

$$x=\frac{19\left(-3\right)}{8}$$

Multiply $19$ and $-3$ to get $-57$.

$$x=\frac{-57}{8}$$

Fraction $\frac{-57}{8}$ can be rewritten as $-\frac{57}{8}$ by extracting the negative sign.

$$x=-\frac{57}{8}$$

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