Question

If $x–\frac{7}{8}=\frac{7}{8}$, then $x=$____________

Answer 1

Find the value of missing variable

Given expression $x–\frac{7}{8}=\frac{7}{8}$ is a linear expression in $x$.

To calculate the value of $x$,

Add $\frac{7}{8}$ to both L.H.S. and R.H.S. of the given equation, we get,

$\Rightarrow x–\frac{7}{8}+\frac{7}{8}=\frac{7}{8}+\frac{7}{8}$

$\Rightarrow x=\frac{7}{8}+\frac{7}{8}$

Taking $8$ as L.C.M, we get,

$\Rightarrow x=\frac{7+7}{8}$

$\Rightarrow x=\frac{14}{8}$

$\Rightarrow x=\frac{7}{4}$

Hence, the value of $x$ is $\frac{7}{4}$.