Question 77316
Let x=the unknown number

So we have

{{{(5/6)x-(1/2)x=6}}}

{{{(5/6)x-(3/3)(1/2)x=6}}} Multiply the 2nd term by (3/3) to get the LCD

{{{(5/6)x-(3/6)x=6}}}

{{{((5-3)/6)x=6}}}

{{{(2/6)x=6}}}

{{{x=6(6/2)}}} Multiply both sides by (6/2)

{{{x=18}}}

So the number is 18

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Check:
{{{(5/6)x-(1/2)x=6}}} plug in x=18
{{{(5/6)(18)-(1/2)(18)=6}}}
{{{15-9=6}}}
{{{6=6}}} works