Solve 8.3*10^5*0.33=x*8.3*10^3*300

$$8.3 \times { 10 }^{ 5 } \times 0.33=x \times 8.3 \times { 10 }^{ 3 } \times 300$$

Solve for x

$$x=0.11$$

Steps for Solving Linear Equation

Cancel out 8.3 on both sides.

$$10^{5}\times 0.33=x\times 10^{3}\times 300$$

Calculate 10 to the power of 5 and get 100000.

$$100000\times 0.33=x\times 10^{3}\times 300$$

Multiply 100000 and 0.33 to get 33000.

$$33000=x\times 10^{3}\times 300$$

Calculate 10 to the power of 3 and get 1000.

$$33000=x\times 1000\times 300$$

Multiply 1000 and 300 to get 300000.

$$33000=x\times 300000$$

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

$$x\times 300000=33000$$

Divide both sides by 300000.

$$x=\frac{33000}{300000}$$

Reduce the fraction \frac{33000}{300000} to lowest terms by extracting and canceling out 3000.

$$x=\frac{11}{100}$$