<PRE><B>Question 77524</B>
{{{x/6 - x/8 =1}}} Start with the given equation


{{{48(x/6 - x/8) =48(1)}}} Multiply both sides by the LCD of 6*8=48. This will eliminate the denominators


{{{8x - 6x =48}}} Distribute the 48


{{{2x =48}}} Subtract like terms


{{{x =24}}} Divide both sides by 2


Check:

{{{x/6 - x/8 =1}}}

{{{24/6 - 24/8 =1}}} Plug in x=24

{{{4 - 3 =1}}}

{{{1=1}}} works</PRE>