Solve 22div7*7div2*7div2*x-2div3*22div7*7div2*7div2*7div2=385

$$22 \div 7 \times 7 \div 2 \times 7 \div 2 \times x-2 \div 3 \times 22 \div 7 \times 7 \div 2 \times 7 \div 2 \times 7 \div 2=385$$

Solve for x

$$x = \frac{37}{3} = 12\frac{1}{3} \approx 12.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$\frac{\frac{22}{7}\times 7}{2}\times 7x-\frac{\frac{\frac{\frac{2}{3}\times 22}{7}\times 7}{2}\times 7}{2}\times 7=770$$

Cancel out 7 and 7.

$$\frac{22}{2}\times 7x-\frac{\frac{\frac{\frac{2}{3}\times 22}{7}\times 7}{2}\times 7}{2}\times 7=770$$

Divide 22 by 2 to get 11.

$$11\times 7x-\frac{\frac{\frac{\frac{2}{3}\times 22}{7}\times 7}{2}\times 7}{2}\times 7=770$$

Multiply 11 and 7 to get 77.

$$77x-\frac{\frac{\frac{\frac{2}{3}\times 22}{7}\times 7}{2}\times 7}{2}\times 7=770$$

Express \frac{2}{3}\times 22 as a single fraction.

$$77x-\frac{\frac{\frac{\frac{2\times 22}{3}}{7}\times 7}{2}\times 7}{2}\times 7=770$$

Multiply 2 and 22 to get 44.

$$77x-\frac{\frac{\frac{\frac{44}{3}}{7}\times 7}{2}\times 7}{2}\times 7=770$$

Express \frac{\frac{44}{3}}{7} as a single fraction.

$$77x-\frac{\frac{\frac{44}{3\times 7}\times 7}{2}\times 7}{2}\times 7=770$$

Multiply 3 and 7 to get 21.

$$77x-\frac{\frac{\frac{44}{21}\times 7}{2}\times 7}{2}\times 7=770$$

Express \frac{44}{21}\times 7 as a single fraction.

$$77x-\frac{\frac{\frac{44\times 7}{21}}{2}\times 7}{2}\times 7=770$$

Multiply 44 and 7 to get 308.

$$77x-\frac{\frac{\frac{308}{21}}{2}\times 7}{2}\times 7=770$$

Reduce the fraction \frac{308}{21} to lowest terms by extracting and canceling out 7.

$$77x-\frac{\frac{\frac{44}{3}}{2}\times 7}{2}\times 7=770$$

Express \frac{\frac{44}{3}}{2} as a single fraction.

$$77x-\frac{\frac{44}{3\times 2}\times 7}{2}\times 7=770$$

Multiply 3 and 2 to get 6.

$$77x-\frac{\frac{44}{6}\times 7}{2}\times 7=770$$

Reduce the fraction \frac{44}{6} to lowest terms by extracting and canceling out 2.

$$77x-\frac{\frac{22}{3}\times 7}{2}\times 7=770$$

Express \frac{22}{3}\times 7 as a single fraction.

$$77x-\frac{\frac{22\times 7}{3}}{2}\times 7=770$$

Multiply 22 and 7 to get 154.

$$77x-\frac{\frac{154}{3}}{2}\times 7=770$$

Express \frac{\frac{154}{3}}{2} as a single fraction.

$$77x-\frac{154}{3\times 2}\times 7=770$$

Multiply 3 and 2 to get 6.

$$77x-\frac{154}{6}\times 7=770$$

Reduce the fraction \frac{154}{6} to lowest terms by extracting and canceling out 2.

$$77x-\frac{77}{3}\times 7=770$$

Express \frac{77}{3}\times 7 as a single fraction.

$$77x-\frac{77\times 7}{3}=770$$

Multiply 77 and 7 to get 539.

$$77x-\frac{539}{3}=770$$

Add \frac{539}{3} to both sides.

$$77x=770+\frac{539}{3}$$

Convert 770 to fraction \frac{2310}{3}.

$$77x=\frac{2310}{3}+\frac{539}{3}$$

Since \frac{2310}{3} and \frac{539}{3} have the same denominator, add them by adding their numerators.

$$77x=\frac{2310+539}{3}$$

Add 2310 and 539 to get 2849.

$$77x=\frac{2849}{3}$$

Divide both sides by 77.

$$x=\frac{\frac{2849}{3}}{77}$$

Express \frac{\frac{2849}{3}}{77} as a single fraction.

$$x=\frac{2849}{3\times 77}$$

Multiply 3 and 77 to get 231.

$$x=\frac{2849}{231}$$

Reduce the fraction \frac{2849}{231} to lowest terms by extracting and canceling out 77.

$$x=\frac{37}{3}$$