Question

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

Answer 1

Answer:

$x=\frac{b-ac}{a+2} ; a\neq -2$

Step-by-step explanation:

Multiply both sides: by x+c

a(x+c)=$\frac{b-2x}{x+c}$ (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: $\frac{x(a+2)}{a+2}$ = $\frac{b}{a+2}$ - $\frac{ac}{a+2}$ ; a≠-2

Simplify: $x=\frac{b-ac}{a+2} ; a\neq -2$