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

Answer

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Answer

x=-5, 2

Steps

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

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