Write as a Set of Linear Factors 2+5/6x=7/8

$2 + \frac{5}{6} x = \frac{7}{8}$

Subtract $\frac{7}{8}$ from both sides of the equation.

$2 + \frac{5}{6} x - \frac{7}{8} = 0$

Simplify $2 + \frac{5}{6} x - \frac{7}{8}$ .

Combine $\frac{5}{6}$ and $x$ .

$2 + \frac{5 x}{6} - \frac{7}{8} = 0$

To write $2$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{5 x}{6} + 2 \cdot \frac{8}{8} - \frac{7}{8} = 0$

Combine $2$ and $\frac{8}{8}$ .

$\frac{5 x}{6} + \frac{2 \cdot 8}{8} - \frac{7}{8} = 0$

Combine the numerators over the common denominator.

$\frac{5 x}{6} + \frac{2 \cdot 8 - 7}{8} = 0$

Simplify the numerator.

Multiply $2$ by $8$ .

$\frac{5 x}{6} + \frac{16 - 7}{8} = 0$

Subtract $7$ from $16$ .

$\frac{5 x}{6} + \frac{9}{8} = 0$