Question

Solve for x
1/a + 1/b + 1/x =1/a+b+x

Answer 1

$\frac{1}{a} + \frac{1}{b} + \frac{1}{x} = \frac{1}{a} + b + x$

$\frac{1}{a} \: will \: cancel$

$\frac{1}{b} + \frac{1}{x} = b + x$

$b - \frac{1}{b} + x -\frac{1}{x} = 0$

$\frac{1}{b} + \frac{1}{x} = 0$

$\frac{x + b}{bx} = 0$

$x + b = 0 \times bx$

$x + b = 0$

$x = - b$

Answer 2

Answer:

$\frac{1}{a} + \frac{1}{b} + \frac{1}{x} = \frac{1}{a} + b + x$

$= > b - \frac{1}{b} + x - \frac{1}{x} = 0$

$= > \frac{1}{b} + \frac{1}{x} = 0$

$= > \frac{x + b}{bx} = 0 = > x + b = 0 = > x = - b$

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