Solve 6x+5/7=5

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

Solve for x

$$x=\frac{5}{7}\approx 0.714285714$$

Steps for Solving Linear Equation

Subtract \frac{5}{7} from both sides.

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

Convert 5 to fraction \frac{35}{7}.

$$6x=\frac{35}{7}-\frac{5}{7}$$

Since \frac{35}{7} and \frac{5}{7} have the same denominator, subtract them by subtracting their numerators.

$$6x=\frac{35-5}{7}$$

Subtract 5 from 35 to get 30.

$$6x=\frac{30}{7}$$

Divide both sides by 6.

$$x=\frac{\frac{30}{7}}{6}$$

Express \frac{\frac{30}{7}}{6} as a single fraction.

$$x=\frac{30}{7\times 6}$$

Multiply 7 and 6 to get 42.

$$x=\frac{30}{42}$$

Reduce the fraction \frac{30}{42} to lowest terms by extracting and canceling out 6.

$$x=\frac{5}{7}$$