Solve 2.1xdiv9*8=2.4

$$2.1 x \div 9 \times 8 = 2.4$$

Solve for x

$$x = \frac{9}{7} = 1\frac{2}{7} \approx 1.285714286$$

Steps for Solving Linear Equation

Divide both sides by 8.

$$\frac{2.1x}{9}=\frac{2.4}{8}$$

Expand \frac{2.4}{8} by multiplying both numerator and the denominator by 10.

$$\frac{2.1x}{9}=\frac{24}{80}$$

Reduce the fraction \frac{24}{80} to lowest terms by extracting and canceling out 8.

$$\frac{2.1x}{9}=\frac{3}{10}$$

Multiply both sides by 9.

$$2.1x=\frac{3}{10}\times 9$$

Express \frac{3}{10}\times 9 as a single fraction.

$$2.1x=\frac{3\times 9}{10}$$

Multiply 3 and 9 to get 27.

$$2.1x=\frac{27}{10}$$

Divide both sides by 2.1.

$$x=\frac{\frac{27}{10}}{2.1}$$

Express \frac{\frac{27}{10}}{2.1} as a single fraction.

$$x=\frac{27}{10\times 2.1}$$

Multiply 10 and 2.1 to get 21.

$$x=\frac{27}{21}$$

Reduce the fraction \frac{27}{21} to lowest terms by extracting and canceling out 3.

$$x=\frac{9}{7}$$