Problem

3. Solve the equation. \[ \frac{5}{x}-\frac{3}{x+4}=2 \] A. -5 B. -5 and 2 C. 2 D. 2 and 4 E. 4

Solution

Step 1 :\frac{5}{x}-\frac{3}{x+4}-2=0

Step 2 :\frac{5(x+4)-3x}{x(x+4)}-2=0

Step 3 :\frac{5x+20-3x}{x(x+4)}=2

Step 4 :2x+20=2x(x+4)

Step 5 :2x(x+4)=x(2x+20)

Step 6 :x=-5, 2

From Solvely APP
Source: https://solvelyapp.com/problems/20937/

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