Solve 8/6*3div2x=sqrt{9}

$$\frac{ 8 }{ 6 \times 3 } \div 2x= \sqrt{ 9 }$$

Solve for x

$$x = \frac{27}{2} = 13\frac{1}{2} = 13.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$\frac{8}{6\times 3}x=2\sqrt{9}$$

Multiply 6 and 3 to get 18.

$$\frac{8}{18}x=2\sqrt{9}$$

Reduce the fraction \frac{8}{18} to lowest terms by extracting and canceling out 2.

$$\frac{4}{9}x=2\sqrt{9}$$

Calculate the square root of 9 and get 3.

$$\frac{4}{9}x=2\times 3$$

Multiply 2 and 3 to get 6.

$$\frac{4}{9}x=6$$

Multiply both sides by \frac{9}{4}, the reciprocal of \frac{4}{9}.

$$x=6\times \frac{9}{4}$$

Express 6\times \frac{9}{4} as a single fraction.

$$x=\frac{6\times 9}{4}$$

Multiply 6 and 9 to get 54.

$$x=\frac{54}{4}$$

Reduce the fraction \frac{54}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{27}{2}$$