Answer
$x=\frac{1}{17}$
Work Step by Step
$2x-\displaystyle \frac{x}{2}+\frac{x+1}{4}=6x$
We multiply both sides by 4:
$8x-2x+x+1=24x$
And simplify:
$7x+1=24x$
And combine $x$ terms:
$1=17x$
And solve for $x$:
$x=\frac{1}{17}$
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