Respuesta :

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Answer:

x = 15/7

Step-by-step explanation:

Cross multiply.

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

Expand the brackets.

10+2x = 25 - 5x

Add 5x and -10 on both sides.

2x + 5x = 25 -10

Combine like terms.

7x = 15

Divide both sides by 7.

x = 15/7

The value of x is 15/7

Step-by-step explanation:

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

By doing cross multiplication

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

=> 25-5x= 20+2x

=> 25 - 10 = 2x +5x

=> 15 = 7x

=> x = 15/7.

Hope it helps you.

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