Solve 720/x=2/3*6/8*2/3

$$\frac{ 720 }{ x } = \frac{ 2 }{ 3 } \times \frac{ 6 }{ 8 } \times \frac{ 2 }{ 3 }$$

Solve for x

$$x=2160$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 24x, the least common multiple of x,3,8.

$$24\times 720=\frac{2}{3}\times 3x\times 6\times \frac{2}{3}$$

Multiply 24 and 720 to get 17280.

$$17280=\frac{2}{3}\times 3x\times 6\times \frac{2}{3}$$

Cancel out 3 and 3.

$$17280=2x\times 6\times \frac{2}{3}$$

Multiply 2 and 6 to get 12.

$$17280=12x\times \frac{2}{3}$$

Express 12\times \frac{2}{3} as a single fraction.

$$17280=\frac{12\times 2}{3}x$$

Multiply 12 and 2 to get 24.

$$17280=\frac{24}{3}x$$

Divide 24 by 3 to get 8.

$$17280=8x$$

Swap sides so that all variable terms are on the left hand side.

$$8x=17280$$

Divide both sides by 8.

$$x=\frac{17280}{8}$$

Divide 17280 by 8 to get 2160.

$$x=2160$$