Solve this rational equation

Question

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] · Answer 1 · 2022-09-18T03:59:10+03:00

sergey [27]3 years ago

6 0

Answer:

$x = - 12$

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

Step-by-step explanation:

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