Solve 2*10^5*0.5/300=2.5*10^5*2/3/X

$$\frac { 2 \times 10 ^ { 5 } \times 0.5 } { 300 } = \frac { 2.5 \times 10 ^ { 5 } \times \frac { 2 } { 3 } } { X }$$

Solve for X

$$X=500$$

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 300X, the least common multiple of 300,X.

$$X\times 2\times 10^{5}\times 0.5=300\times 2.5\times 10^{5}\times \frac{2}{3}$$

Calculate 10 to the power of 5 and get 100000.

$$X\times 2\times 100000\times 0.5=300\times 2.5\times 10^{5}\times \frac{2}{3}$$

Multiply 2 and 100000 to get 200000.

$$X\times 200000\times 0.5=300\times 2.5\times 10^{5}\times \frac{2}{3}$$

Multiply 200000 and 0.5 to get 100000.

$$X\times 100000=300\times 2.5\times 10^{5}\times \frac{2}{3}$$

Multiply 300 and 2.5 to get 750.

$$X\times 100000=750\times 10^{5}\times \frac{2}{3}$$

Calculate 10 to the power of 5 and get 100000.

$$X\times 100000=750\times 100000\times \frac{2}{3}$$

Multiply 750 and 100000 to get 75000000.

$$X\times 100000=75000000\times \frac{2}{3}$$

Express 75000000\times \frac{2}{3} as a single fraction.

$$X\times 100000=\frac{75000000\times 2}{3}$$

Multiply 75000000 and 2 to get 150000000.

$$X\times 100000=\frac{150000000}{3}$$

Divide 150000000 by 3 to get 50000000.

$$X\times 100000=50000000$$

Divide both sides by 100000.

$$X=\frac{50000000}{100000}$$

Divide 50000000 by 100000 to get 500.

$$X=500$$