Question 69854
There are two quantities inside the absolute value signs that
will give the correct answer. {{{abs(+1/4)}}} and {{{abs(-1/4)}}}
{{{abs(3-(3/4)x) = abs(-1/4)}}}
{{{abs(3-(3/4)x) = abs(+1/4)}}} 
Therefore, both of these must be true for {{{abs(3-(3/4)x)=1/4}}} to
be true. 
{{{3 - (3/4)x = +1/4}}}
{{{3 - (3/4)x = -1/4}}}
solve each for x
{{{(3/4)x = 3 - 1/4}}}
{{{(3/4)x = 11/4}}}
{{{x = 11/3}}} answer
{{{3 - (3/4)x = -1/4}}}
{{{(3/4)x = 3 + 1/4}}}
{{{(3/4)x = 13/4}}}
{{{x = 13/3}}} answer
substitute the answers into the problem and you will see that
they are correct.