Question 7750
{{{(x/5) - x + (2/3) = 1/15}}}  Multiply by 15 to clear the fractions.

{{{3x - 15x + 10 = 1}}} Simplify and solve for x.

{{{-12x + 10 = 1}}}  Add 12x to both sides.

{{{10 = 12x + 1}}}  Subtract 1 from both sides.

{{{9 = 12x}}} Divide both sides by 12.

{{{x = 9/12}}} Simplify.

{{{x = 3/4}}}

Check:

{{{(3/4)/5 - 3/4 + 2/3 = 1/15}}}

{{{(3/4)*(1/5) - 3/4 + 2/3 = 1/15}}}

{{{3/20 - 3/4 + 2/3 = 1/15}}} Combime the fractions.  LCD = 60

{{{9/60 - 45/60 + 40/60 = 4/60}}}

{{{49/60 - 45/60 = 4/60}}}

{{{4/60 = 4/60}}} Simplify.

{{{1/15 = 1/15}}}