Question 1202216
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The solution from the other tutor interprets "(8)/(4)x" as {{{8/(4x)}}} and "(1)/(12)x" as {{{1/(12x)}}}<br>
(Note also that his algebra is faulty, leading to an incorrect answer for his interpretation.)<br>
Those expressions are ambiguous; many software tools will interpret them that way, but many other tools will interpret them as {{{(8/4)x=2x}}} and {{{(1/12)x}}}.<br>
Most references regarding order of operations will interpret each of those expressions as a division followed by a multiplication, leading to the second interpretation.<br>
So... another possible solution:<br>
{{{2x-6=4-(1/12)x}}}
{{{2x+(1/12)x=4+6}}}
{{{(25/12)x=10}}}
{{{x=10(12/25)=120/25=24/5}}}<br>
ANSWER: x = 24/5<br>