Question 57517
When a question is like: 1/3x - 3/4 > 7/6 - 2/3x
 How do you answer the problem?

Assume you mean {{{(1/3)x - 3/4 > 7/6 - (2/3)x}}}
:
In this one I would add {{{(2/3)x}}} to both sides:
{{{(1/3)x + (2/3)x - 3/4 > 7/6}}}
{{{1x - 3/4 > 7/6}}}
Add 3/4 to both sides
{{{1x > 7/6 + 3/4}}}
A common denominato of 12
{{{1x > 14/12 + 9/12}}}
{{{x > 23/12}}}
:
:
It would be good exercise to check this solution by substituting 23/12 for x in the original equation.