Question 65573
Use the normal rules of subtraction of fractions to solve the problem.
Step 1 find a common denominator (LCD = 24).
Step 2 rewrite all fractions over the common denominator
{{{x/6  -  x/8  = 1}}}
{{{4x/24  -  3x/24  = 1}}}
Step 3 perform the subtraction
{{{x/24 = 1}}}
so x=24


Check
{{{24/6  -  24/8  = 1}}}
{{{4  -  3  = 1}}}