Question

1/x + 1/4 = 7/12 solve for x

Answer 1

Given equation is
$\frac{1}{x} + \frac{1}{4} = \frac{7}{12}$

We can solve it by subtracting 1/4 both side
$\frac{1}{x} + \frac{1}{4} - \frac{1}{4} = \frac{7}{12} - \frac{1}{4}$

$\frac{1}{x} = \frac{7}{12} - \frac{1}{4}$
                          $= \frac{7 - 3}{12}$
                          $= \frac{4}{12}$
                          $= \frac{1}{3}$

So $\frac{1}{x} = \frac{1}{3}$
On comparing x = 3.

SO the solution of equation is x = 3