Answer
$x=16$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
\dfrac{1}{4}x-\dfrac{1}{8}x=3-\dfrac{1}{16}x
$, is
\begin{array}{l}\require{cancel}
\dfrac{1}{4}x-\dfrac{1}{8}x+\dfrac{1}{16}x=3
\\\\
\dfrac{4}{16}x-\dfrac{2}{16}x+\dfrac{1}{16}x=3
\\\\
\dfrac{4-2+1}{16}x=3
\\\\
\dfrac{3}{16}x=3
\\\\
x=3\cdot\dfrac{16}{3}
\\\\
x=\cancel{3}\cdot\dfrac{16}{\cancel{3}}
\\\\
x=16
.\end{array}
