How to solve - 7/8 + x = 5/9

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 - 7/8 + x = 5/9 | Equatix

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$$\frac{-7}{8}+x=\frac{5}{9}$$

$x = \frac{103}{72} = 1\frac{31}{72} \approx 1.430555556$

Fraction $\frac{-7}{8}$ can be rewritten as $-\frac{7}{8}$ by extracting the negative sign.

$$-\frac{7}{8}+x=\frac{5}{9}$$

Add $\frac{7}{8}$ to both sides.

$$x=\frac{5}{9}+\frac{7}{8}$$

Least common multiple of $9$ and $8$ is $72$. Convert $\frac{5}{9}$ and $\frac{7}{8}$ to fractions with denominator $72$.

$$x=\frac{40}{72}+\frac{63}{72}$$

Since $\frac{40}{72}$ and $\frac{63}{72}$ have the same denominator, add them by adding their numerators.

$$x=\frac{40+63}{72}$$

Add $40$ and $63$ to get $103$.

$$x=\frac{103}{72}$$