Question 54181
Let me show you an example:
First isolate the absolute value.
{{{abs(x-1)/4=2/3}}}
{{{4*abs(x-1)/4=(2/3)4}}}
{{{abs(x-1)=8/3}}}
Then make two equations x-1=8/3 and x-1=-8/3 and solve both for x:
{{{x-1=8/3}}}
{{{3(x-1)=(8/3)*3}}}
{{{3x-3=8}}}
{{{3x-3+3=8+3}}}
{{{3x=11}}}
{{{3x/3=11/3}}}
{{{highlight(x=11/3)}}}
{{{highlight(or)}}}
{{{x-1=-8/3}}}
{{{3(x-1)=(-8/3)*3}}}
{{{3x-3=-8}}}
{{{3x-3+3=-8+3}}}
{{{3x=-5}}}
{{{3x/3=-5/3}}}
{{{highlight(x=5/3)}}}
Happy Calculating!!!