Answer:
We have, \[\frac{(2+x)(7-x)}{(5-x)(4+x)}=1\] By cross-multiplication, we get \[(2+x)(7x)=(5x)(4+x)\] or, \[2(7x)+x(7x)=5\text{ }(4+x)x(4+x)\] or, \[142x+7x{{x}^{2}}=20+5x4x{{x}^{2}}\] or, \[14+5x=20+x\] or, \[5xx=\text{ }2014\] or, \[4x=6\] or, x = \[\frac{6}{4}=\frac{3}{2}\] Thus, the solution of the given equation is x = \[\frac{3}{2}\]
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