Question

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

Answer 1

Answer:

$\frac{(2 + x)(7 - x)}{(5 - x)(4 + x)} = 1 \\ 14 - x {}^{2} + 5x = 20 - x {}^{2} + x \\ 4x = 6 \\ x = \frac{2}{3}$

Answer 2

(2+x)(7-x)/(5-x)(4+x)=1
or, (2+x)(7-x)=(5-x)(4+x)
or, 14-x²-2x+7x=20-x²-4x+5x
or, 20-14-x²+x²+2x-7x-4x+5x=0
or, 6-4x=0
or, 4x=6
or, x=6/4
or, x = 3/2
or, x= 1.5