Solve x+(x+6/7)=5920

$$x + ( x + \frac { 6 } { 7 } ) = 5920$$

Solve for x

$$x = \frac{20717}{7} = 2959\frac{4}{7} \approx 2959.571428571$$

Steps for Solving Linear Equation

Combine x and x to get 2x.

$$2x+\frac{6}{7}=5920$$

Subtract \frac{6}{7} from both sides.

$$2x=5920-\frac{6}{7}$$

Convert 5920 to fraction \frac{41440}{7}.

$$2x=\frac{41440}{7}-\frac{6}{7}$$

Since \frac{41440}{7} and \frac{6}{7} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{41440-6}{7}$$

Subtract 6 from 41440 to get 41434.

$$2x=\frac{41434}{7}$$

Divide both sides by 2.

$$x=\frac{\frac{41434}{7}}{2}$$

Express \frac{\frac{41434}{7}}{2} as a single fraction.

$$x=\frac{41434}{7\times 2}$$

Multiply 7 and 2 to get 14.

$$x=\frac{41434}{14}$$

Reduce the fraction \frac{41434}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{20717}{7}$$