Solve 3/4+7/8x=-20

$$\frac { 3 } { 4 } + \frac { 7 } { 8 } x = - 20$$

Solve for x

$$x = -\frac{166}{7} = -23\frac{5}{7} \approx -23.714285714$$

Steps for Solving Linear Equation

Subtract \frac{3}{4} from both sides.

$$\frac{7}{8}x=-20-\frac{3}{4}$$

Convert -20 to fraction -\frac{80}{4}.

$$\frac{7}{8}x=-\frac{80}{4}-\frac{3}{4}$$

Since -\frac{80}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{8}x=\frac{-80-3}{4}$$

Subtract 3 from -80 to get -83.

$$\frac{7}{8}x=-\frac{83}{4}$$

Multiply both sides by \frac{8}{7}, the reciprocal of \frac{7}{8}.

$$x=-\frac{83}{4}\times \frac{8}{7}$$

Multiply -\frac{83}{4} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-83\times 8}{4\times 7}$$

Do the multiplications in the fraction \frac{-83\times 8}{4\times 7}.

$$x=\frac{-664}{28}$$

Reduce the fraction \frac{-664}{28} to lowest terms by extracting and canceling out 4.

$$x=-\frac{166}{7}$$