1. Solve:The LCM of all denominators is2 5 1- - - = -

3 6 x

Solution:

6x. Multiply each side of the

equation by6x.

6x((2/3) - (5/6)) =6x(1/x)

Use the distributive law of multi-

plication, which saysa(b + c) =, to rewrite the

ab + ac

equation.

6x(2/3) - 6x(5/6) = 6x(1/x)

Multiply each group of terms

together.

(12x/3)-30x/6=6x/x

Perform each of the indicated

divisions.

4x-5x=6

Solve forx.

Combine like terms.

-x= 6

Multiply each side by-1.

x = -6

Why would you Mutliply by 6X rather than just 6?