$\cfrac{5}{6}$ $-$ $\bigg(x$ $+$ $\cfrac{1}{4}\bigg)$ $=$ $\cfrac{1}{4}$
$\Rightarrow$ $-$ $\bigg(x$ $+$ $\cfrac{1}{4}\bigg)$ $=$ $\cfrac{1}{4}$ $-$ $\cfrac{5}{6}$
$\Rightarrow$ $-$ $\bigg(x$ $+$ $\cfrac{1}{4}\bigg)$ $=$ $-\cfrac{7}{12}$
$\Rightarrow$ $-$ $ x$ $-$ $\cfrac{1}{4}$ $=$ $-\cfrac{7}{12}$
$\Rightarrow$ $-$ $ x$ $=$ $-\cfrac{7}{12}$ $+$ $\cfrac{1}{4}$
$\Rightarrow$ $-$ $ x$ $=$ $-\cfrac{1}{3}$
$\Rightarrow$ $x$ $=$ $\cfrac{1}{3}$
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