Explanation
- Get rid of the denominator by multiplying the whole equation with 100x.
[tex] \frac{20}{100} (100x) = \frac{80}{x} (100x) \\ \frac{20}{ \cancel{100}}( \cancel{100} \: \: x) = \frac{80}{ \cancel{x}} (100 \cancel{x}) \\ 20x = 80(100) \\ 20x = 8000[/tex]
- Solve the equation for x-term.
[tex]x = \frac{8000}{20} \longrightarrow \frac{800 \cancel{0}}{2 \cancel{0}} \\ x = \frac{800}{2} \longrightarrow \frac{ \cancel{800} \: \: 400}{ \cancel{2} \: \: 1} \\ x = 400[/tex]
Substitute x = 400 in the equation.
[tex] \frac{20}{100} = \frac{80}{400} \\ \frac{ \cancel{20} \: \: \: 1}{ \cancel{100} \: \: \: 5} = \frac{ \cancel{80} \: \: \: 1}{ \cancel{400} \: \: \: 5} \\ \frac{1}{5} = \frac{1}{5} [/tex]
The equation is true for x = 400. Therefore the answer for equation is x = 400.
Answer
[tex] \large\boxed{x = 400}[/tex]
