Given equation is
[tex] \frac{1}{x} + \frac{1}{4} = \frac{7}{12} [/tex]
We can solve it by subtracting 1/4 both side
[tex] \frac{1}{x} + \frac{1}{4} - \frac{1}{4} = \frac{7}{12} - \frac{1}{4} [/tex]
[tex] \frac{1}{x} = \frac{7}{12} - \frac{1}{4} [/tex]
[tex]= \frac{7 - 3}{12} [/tex]
[tex]= \frac{4}{12} [/tex]
[tex]= \frac{1}{3} [/tex]
So [tex] \frac{1}{x} = \frac{1}{3} [/tex]
On comparing x = 3.
SO the solution of equation is x = 3