Solve 2x:7=10:3

$$2 x : 7 = 10 : 3$$

Solve for x

$$x = \frac{35}{3} = 11\frac{2}{3} \approx 11.666666667$$

Steps for Solving Linear Equation

Multiply both sides by 7.

$$2x=\frac{10}{3}\times 7$$

Express \frac{10}{3}\times 7 as a single fraction.

$$2x=\frac{10\times 7}{3}$$

Multiply 10 and 7 to get 70.

$$2x=\frac{70}{3}$$

Divide both sides by 2.

$$x=\frac{\frac{70}{3}}{2}$$

Express \frac{\frac{70}{3}}{2} as a single fraction.

$$x=\frac{70}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$x=\frac{70}{6}$$

Reduce the fraction \frac{70}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{35}{3}$$