Solving Rational Equations
To solve an equation containing fractions, clear denominators
by multiplying each term of the equation by the least common
multiple, LCM, of the denominators. Then solve for the variable.
Occasionally, a value of the variable that appears to be a
solution will make one or more of the denominators zero. If that
happens, the equation has no solution for that value of the
The LCM is X - 5. Multiply each term by X - 5
3X = 5X - 25 - 5
3X = 5X - 30 SIMPLIFY:
-2X = -30
X = 15
15 checks as a solution.