Solve (335/330-335/330+x)*440=4/3

$$( \frac{ 335 }{ 330 } - \frac{ 335 }{ 330+x } ) \times 440= \frac{ 4 }{ 3 }$$

Solve for x

$$x=\frac{165}{167}\approx 0.988023952$$

Steps for Solving Linear Equation

Divide both sides by 440.

$$\frac{335}{330}-\frac{335}{330+x}=\frac{\frac{4}{3}}{440}$$

Express \frac{\frac{4}{3}}{440} as a single fraction.

$$\frac{335}{330}-\frac{335}{330+x}=\frac{4}{3\times 440}$$

Multiply 3 and 440 to get 1320.

$$\frac{335}{330}-\frac{335}{330+x}=\frac{4}{1320}$$

Reduce the fraction \frac{4}{1320} to lowest terms by extracting and canceling out 4.

$$\frac{335}{330}-\frac{335}{330+x}=\frac{1}{330}$$

Variable x cannot be equal to -330 since division by zero is not defined. Multiply both sides of the equation by 330\left(x+330\right), the least common multiple of 330,330+x.

$$\left(x+330\right)\times 335-330\times 335=x+330$$

Use the distributive property to multiply x+330 by 335.

$$335x+110550-330\times 335=x+330$$

Multiply -330 and 335 to get -110550.

$$335x+110550-110550=x+330$$

Subtract 110550 from 110550 to get 0.

$$335x=x+330$$

Subtract x from both sides.

$$335x-x=330$$

Combine 335x and -x to get 334x.

$$334x=330$$

Divide both sides by 334.

$$x=\frac{330}{334}$$

Reduce the fraction \frac{330}{334} to lowest terms by extracting and canceling out 2.

$$x=\frac{165}{167}$$