Answer
$x$ = $\frac{5}{14}$
Work Step by Step
Given equation is-
$\frac{2}{x}+\frac{1}{2x}$ = $7$
Algebraic Solution:
Multiplying the given equation by $2x$ on both the sides-
$4 + 1$ = $14x$
i.e. $14x$ = $5$
i.e. $x$ = $\frac{5}{14}$
i.e. $x$ = $\frac{5}{14}$ is the required solution
Graphical Solution:
On rearranging the given equation-
$14x-5$ = $0$
Now graphing $y$ = $14x-5$
We see that graph intercept $x-axis$ at $0.3571$
Thus from the graph we conclude that the solution is $x$ = $0.3571$ or $\frac{5}{14}$