Question 762718
Either 4x-3 is greater than or equal to zero, OR 4x-3 is less than zero.
Work with these two possibilities.


CONDITION: {{{4x-3>=0}}}
{{{abs(4x-3)=4x-3=5}}}
{{{4x=5+3}}}
{{{4x=8}}}
{{{highlight(x=2)}}}


CONDITION:  {{{4x-3<0}}}
{{{abs(4x-3)=3-4x=5}}}
{{{-4x=5+3}}}
{{{4x=-5-3}}}
{{{4x=-8}}}
{{{highlight(x=-2)}}}


x cannot be both values at the same time, but the solution is {{{x=-2}}} OR {{{x=2}}}