Solve 10%x/x+500=0.3%

$$\frac{ 10 \% x }{ x+500 } =0.3 \%$$

Solve for x

$$x = \frac{1500}{97} = 15\frac{45}{97} \approx 15.463917526$$

Steps for Solving Linear Equation

Variable x cannot be equal to -500 since division by zero is not defined. Multiply both sides of the equation by 100\left(x+500\right), the least common multiple of x+500,100.

$$100\times \frac{10}{100}x=\left(x+500\right)\times 0.3$$

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$100\times \frac{1}{10}x=\left(x+500\right)\times 0.3$$

Multiply 100 and \frac{1}{10} to get 10.

$$10x=\left(x+500\right)\times 0.3$$

Use the distributive property to multiply x+500 by 0.3.

$$10x=0.3x+150$$

Subtract 0.3x from both sides.

$$10x-0.3x=150$$

Combine 10x and -0.3x to get 9.7x.

$$9.7x=150$$

Divide both sides by 9.7.

$$x=\frac{150}{9.7}$$

Expand \frac{150}{9.7} by multiplying both numerator and the denominator by 10.

$$x=\frac{1500}{97}$$