Question

If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?​

Answer 1

`x=(b-ac)/(a+2) ; a\\eq -2`

Explanation:

Multiply both sides: by x+c

a(x+c)=
`(b-2x)/(x+c)` (x+c)

Simplify: a(x+c)=b-2x

Expand: ax+ac=b-2x

Subtract ac from both sides: ax+ac-ac=b-2x-ac

Simplify: ax=b-2x-ac

Add 2x to both sides: ax+2x=b-2x-ac+2x

Simplify: ax+2x=b-ac

Factor ax+2x: x(a+2)

x(a+2)=b-ac

Divide both sides by a+2:
`(x(a+2))/(a+2)` =
`(b)/(a+2)` -
`(ac)/(a+2)` ; a≠-2

Simplify:
`x=(b-ac)/(a+2) ; a\\eq -2`