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soldier1979 [14.2K]
3 years ago
12

Solve this rational equation

D%7Bx%20%2B%204%7D%20%2B%202%20%20" id="TexFormula1" title=" \frac{x}{x + 4} = \frac{4}{x + 4} + 2 " alt=" \frac{x}{x + 4} = \frac{4}{x + 4} + 2 " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
sergey [27]3 years ago
6 0

Answer:

x =  - 12

C.E.: x <em>=/=</em> -4

Step-by-step explanation:

\frac{x}{x + 4}  =  \frac{4}{x + 4}  + 2 \\  \frac{x}{x + 4}  =  \frac{4 + 2x + 8}{x + 4}  \\ x = 4 + 2x + 8 \\  - x = 12 \\ x =  - 12

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