Solve 7/8(x+8/7)=8

$$\frac { 7 } { 8 } ( x + \frac { 8 } { 7 } ) = 8$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

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

$$x+\frac{8}{7}=8\times \frac{8}{7}$$

Express 8\times \frac{8}{7} as a single fraction.

$$x+\frac{8}{7}=\frac{8\times 8}{7}$$

Multiply 8 and 8 to get 64.

$$x+\frac{8}{7}=\frac{64}{7}$$

Subtract \frac{8}{7} from both sides.

$$x=\frac{64}{7}-\frac{8}{7}$$

Since \frac{64}{7} and \frac{8}{7} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{64-8}{7}$$

Subtract 8 from 64 to get 56.

$$x=\frac{56}{7}$$

Divide 56 by 7 to get 8.

$$x=8$$