Question 51021
We're told that the absolute value of something is equal to 5.  That means that the 'something' can either be '5' or '-5'.  Therefore, there are two equations to solve:  {{{2x-1=5}}} and {{{2x-1=-5}}}.<br>
To solve the first equation, add 1 to both sides:  {{{2x-1+1=5+1}}}, which simplifies to {{{2x=6}}}.  Now divide both sides by 2:  {{{2x/2=6/2}}}, which simplifies to {{{x=3}}}.  Solving the second equation using the same process producess {{{x=-2}}}.  So, {{{x}}} could be either {{{3}}} or {{{-2}}}.