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

Add \frac{3}{4} to 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, add them by adding their numerators.

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

Add 24 and 3 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.

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