Solve 300*5/100x=(300+x)*3/100

$$300 \times \frac{ 5 }{ 100 } x=(300+x) \times \frac{ 3 }{ 100 }$$

Solve for x

$$x=\frac{300}{499}\approx 0.601202405$$

Steps for Solving Linear Equation

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$300\times \frac{1}{20}x=\left(300+x\right)\times \frac{3}{100}$$

Multiply 300 and \frac{1}{20} to get \frac{300}{20}.

$$\frac{300}{20}x=\left(300+x\right)\times \frac{3}{100}$$

Divide 300 by 20 to get 15.

$$15x=\left(300+x\right)\times \frac{3}{100}$$

Use the distributive property to multiply 300+x by \frac{3}{100}.

$$15x=300\times \frac{3}{100}+x\times \frac{3}{100}$$

Express 300\times \frac{3}{100} as a single fraction.

$$15x=\frac{300\times 3}{100}+x\times \frac{3}{100}$$

Multiply 300 and 3 to get 900.

$$15x=\frac{900}{100}+x\times \frac{3}{100}$$

Divide 900 by 100 to get 9.

$$15x=9+x\times \frac{3}{100}$$

Subtract x\times \frac{3}{100} from both sides.

$$15x-x\times \frac{3}{100}=9$$

Combine 15x and -x\times \frac{3}{100} to get \frac{1497}{100}x.

$$\frac{1497}{100}x=9$$

Multiply both sides by \frac{100}{1497}, the reciprocal of \frac{1497}{100}.

$$x=9\times \frac{100}{1497}$$

Express 9\times \frac{100}{1497} as a single fraction.

$$x=\frac{9\times 100}{1497}$$

Multiply 9 and 100 to get 900.

$$x=\frac{900}{1497}$$

Reduce the fraction \frac{900}{1497} to lowest terms by extracting and canceling out 3.

$$x=\frac{300}{499}$$