Question 245533
Is your question saying |x-2|=x/3 ?
If so, here's how we solve it:
.
{{{x-2=x/3}}}
Multiply by 3 on both sides to get rid of the fraction, we get:
{{{3(x-2)=x}}}
Distribute:
{{{3x-6=x}}}
Let's solve for x by combining like terms:
{{{3x-x=6}}}
{{{2x=6}}}
{{{x=6/2}}}
{{{x=3}}}
.
Now substitute this value in the original expression:
|x-2|=x/3
|3-2|=3/3
|1|=1
1=1
.
Done!