Exercise
$x+\frac{20}{x-4}=\frac{5}{x-4}-2$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the rational equation x+20/(x-4)=5/(x-4)-2. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Multiplying the fraction by -1. Combine fractions with common denominator x-4. We need to isolate the dependent variable x, we can do that by simultaneously subtracting \frac{15}{x-4} from both sides of the equation.
Solve the rational equation x+20/(x-4)=5/(x-4)-2
Final answer to the exercise
$x=\frac{2+\sqrt{24}i}{2},\:x=\frac{2-\sqrt{24}i}{2}$