Question 56751
Solve and check:

{{{(x+1)/6=4/3}}}Multiply both sides by the LCD, 6:

{{{6(x+1)/6=6(4/3)}}}
{{{cross(6)*(x+1)/cross(6)=24/3}}}
{{{x+1=8}}}
{{{x+1-1=8-1}}}
{{{highlight(x=7)}}}
Check by substituting x=7 into the original equation and see if both sides =.
{{{(7+1)/6=4/3}}}
{{{8/6=4/3}}}
{{{2*4/(2*3)=4/3}}}
{{{4/3=4/3}}}  We're right again!!!
  
Happy Calculating!!!