Question

find x for the equation (2+x)(7-x)/(5-x)(4+x)=1

Answer 1

(2+x)(7-x) = (5-x)(4+x)
14 - 2x + 7x - x² = 20 + 5x -4x - x²
14 + 5x = 20 + x
5x - x = 20 - 14
4x = 6
x = 3/2

Hope this helps...

Answer 2

Answer:

The value of x is 1.5.

Step-by-step explanation:

Given,

$\frac{(2+x)(7-x)}{(5-x)(4+x)}=1$

$(2+x)(7-x)=(5-x)(4+x)$     ( By cross multiplication )

$14-2x+7x-x^2 = 20 + 5x - 4x - x^2$

$14+5x = 20+x$

$4x = 6\implies x = \frac{6}{4}=1.5$

Thus, the value of x is 1.5.