How to solve x - 5/8 = - 7/6

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 - 5/8 = - 7/6 | Equatix

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$$x-\frac{5}{8}=\frac{-7}{6}$$

$x=-\frac{13}{24}\approx -0.541666667$

Fraction $\frac{-7}{6}$ can be rewritten as $-\frac{7}{6}$ by extracting the negative sign.

$$x-\frac{5}{8}=-\frac{7}{6}$$

Add $\frac{5}{8}$ to both sides.

$$x=-\frac{7}{6}+\frac{5}{8}$$

Least common multiple of $6$ and $8$ is $24$. Convert $-\frac{7}{6}$ and $\frac{5}{8}$ to fractions with denominator $24$.

$$x=-\frac{28}{24}+\frac{15}{24}$$

Since $-\frac{28}{24}$ and $\frac{15}{24}$ have the same denominator, add them by adding their numerators.

$$x=\frac{-28+15}{24}$$

Add $-28$ and $15$ to get $-13$.

$$x=-\frac{13}{24}$$