Solve 2x-6/5=4/7

$$\frac { 2 x - 6 } { 5 } = \frac { 4 } { 7 }$$

Solve for x

$$x = \frac{31}{7} = 4\frac{3}{7} \approx 4.428571429$$

Steps for Solving Linear Equation

Multiply both sides by 5.

$$2x-6=\frac{4}{7}\times 5$$

Express \frac{4}{7}\times 5 as a single fraction.

$$2x-6=\frac{4\times 5}{7}$$

Multiply 4 and 5 to get 20.

$$2x-6=\frac{20}{7}$$

Add 6 to both sides.

$$2x=\frac{20}{7}+6$$

Convert 6 to fraction \frac{42}{7}.

$$2x=\frac{20}{7}+\frac{42}{7}$$

Since \frac{20}{7} and \frac{42}{7} have the same denominator, add them by adding their numerators.

$$2x=\frac{20+42}{7}$$

Add 20 and 42 to get 62.

$$2x=\frac{62}{7}$$

Divide both sides by 2.

$$x=\frac{\frac{62}{7}}{2}$$

Express \frac{\frac{62}{7}}{2} as a single fraction.

$$x=\frac{62}{7\times 2}$$

Multiply 7 and 2 to get 14.

$$x=\frac{62}{14}$$

Reduce the fraction \frac{62}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{31}{7}$$