Question 114536
I suspect you meant 'cube root', so your equation should look like


{{{(root(3,(3x+2)))-1=1}}} 


{{{(root(3,(3x+2)))-1=1}}}  
Add 1 to both sides
{{{root(3,(3x+2))=2}}}  
Cube both sides
{{{3x+2=8}}}  
Subtract 2 from both sides
{{{3x=6}}}    
Divide both sides by 2
{{{x=2}}}