Solve 7/8x+3/4=-6?

$$\frac { 7 } { 8 } x + \frac { 3 } { 4 } = - 6 ?$$

Solve for x

$$x = -\frac{54}{7} = -7\frac{5}{7} \approx -7.714285714$$

Steps for Solving Linear Equation

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

$$\frac{7}{8}x=-6-\frac{3}{4}$$

Convert -6 to fraction -\frac{24}{4}.

$$\frac{7}{8}x=-\frac{24}{4}-\frac{3}{4}$$

Since -\frac{24}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{8}x=\frac{-24-3}{4}$$

Subtract 3 from -24 to get -27.

$$\frac{7}{8}x=-\frac{27}{4}$$

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

$$x=-\frac{27}{4}\times \frac{8}{7}$$

Multiply -\frac{27}{4} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-27\times 8}{4\times 7}$$

Do the multiplications in the fraction \frac{-27\times 8}{4\times 7}.

$$x=\frac{-216}{28}$$

Reduce the fraction \frac{-216}{28} to lowest terms by extracting and canceling out 4.

$$x=-\frac{54}{7}$$