Question

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

Answer 1

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

(2+x)(7-x)=(5-x)(4+x)

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

$14 + 5x - {x}^{2} = 20 + x - {x}^{2}$

4x=6

x=3/2