Respuesta :

Stephen46

Answer:

x = - 11

Step-by-step explanation:

[tex] \frac{4}{x + 2} = \frac{12}{2x - 5} [/tex]

Cross multiply

That's

4( 2x - 5) = 12( x + 2)

Expand the terms in the bracket

That's

8x - 20 = 12x + 24

Group like terms

8x - 12x = 24 + 20

- 4x = 44

Divide both sides by - 4

We have the final answer as

x = - 11

Hope this helps you

nermay7

Answer: x = -11

Step-by-step explanation:

First Cross product  to reduce it

4(2x-5) = 12(x+2)   Now apply the distributive property on each sides and solve for x.

8x - 20 = 12x + 24   Add 20 to both sides

     +20           +20

8x = 12x +44        subtract 12x from both sides

-12x    -12x

-4x = 44                  Divide both sides by -4

x = -11  

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