Question 678425
First you should get rid of all of the brackets, to simplify the inequality.

{{{8-1+3x > 2+12x}}} (I used distributive property. Remember to watch how signs change when you have negative numbers, etc, in brackets.)

{{{7+3x > 2 +12x }}}(Combine like terms)

{{{7-2>12x-3x}}} (move variable to one side, numbers to the other.)
{{{5>9x}}} (combine like terms)
{{{5/9>x}}}(Find x)

And that's how you do it. 

Now you can test that by finding any number less than {{{5/9}}} to test out and plug back into the equation. Let's do {{{1/3}}}.

{{{8-(1-3x)>2(1+6x)}}}
{{{8-1+3x > 2+12x}}} 
Substituting x: {{{7+3(1/3)>2+12(1/3)}}}
{{{7+1>2+4}}}
Is {{{8>6}}}? Yes.
Since this is correct, you know your answer is correct.