Solve 5x+7/71=6

$$5 x + \frac { 7 } { 71 } = 6$$

Solve for x

$$x = \frac{419}{355} = 1\frac{64}{355} \approx 1.18028169$$

Steps for Solving Linear Equation

Subtract \frac{7}{71} from both sides.

$$5x=6-\frac{7}{71}$$

Convert 6 to fraction \frac{426}{71}.

$$5x=\frac{426}{71}-\frac{7}{71}$$

Since \frac{426}{71} and \frac{7}{71} have the same denominator, subtract them by subtracting their numerators.

$$5x=\frac{426-7}{71}$$

Subtract 7 from 426 to get 419.

$$5x=\frac{419}{71}$$

Divide both sides by 5.

$$x=\frac{\frac{419}{71}}{5}$$

Express \frac{\frac{419}{71}}{5} as a single fraction.

$$x=\frac{419}{71\times 5}$$

Multiply 71 and 5 to get 355.

$$x=\frac{419}{355}$$