Question

x/a-a+b/x = b (a+b)/ax

Answer 1

$\frac{x}{a} - \frac{(a + b)}{x} = \frac{b(a + b)}{ax} \\ \frac{ {x}^{2} - a(a + b) }{ ax} = \frac{b(a + b)}{ax} \\ {x}^{2} - a(a + b) = \frac{b(a + b)}{ax} \times ax \\ {x}^{2} - a(a + b) = b(a + b) \\ {x}^{2} = a(a + b) + b(a + b) \\ {x}^{2} = (a + b) (a + b) \\ {x}^{2} = {(a + b)}^{2} \\ x = a + b$