Question 1016387
Solve for the two conditions separately, 4x-8 positive or zero; and 4x-8 negative.  Combine the solutions found using OR, but first check to see if either solution fails in the original equation.


{{{4x-8-3x=6x+2}}}
{{{x-8=6x+2}}}
{{{-8=5x+2}}}
{{{-10=5x}}}
{{{highlight(x=-2)}}}


{{{-(4x-8)-3x=6x+2}}}
{{{-4x+8-3x=6x+2}}}
{{{-7x-8=6x+2}}}
{{{-13x-8=2}}}
{{{-13x=10}}}
{{{x=-10/13}}}----this seems to fail upon check.


You can try solving it again yourself just to see if you find any different.