Question

If 2x=4/x+1 what is x

Answer 1

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

Cross- Multiply:
$2x (x + 1) = 4$

Distribute 2x:
$2x^2 + 2x = 4$

Subtract 4 from both sides:
$2x^2 + 2x - 4 = 0$

Divide both sides by 2:
$x^2 + x - 2 = 0$

Factorise:
$( x + 2)(x - 1) = 0$

Apply zero product property:
$x = 2 \ or \ x = 1$