Question

solve the following linear equation
2/x+1=4-x/x+1,(x not equal to -1)

Answer 1

Multiplying both sides by x+1 yields:

2=4-x

∴ x=4-2=2

Hope this helps :)

Answer 2

x = 2

$\dfrac{2}{x+1} = \dfrac{4-x}{x+1}$

Since both have a common denominator, they get cancelled. Hence we get,

2 = 4 - x

⇒ 2 - 4 = -x

⇒ -x = -2

⇒ x = 2