Solving Linear Equations Containing Fractions

First, find the LCD of the fractions.

Step 1 Factor each denominator into its prime factors.

Step 2 List each factor the greatest number of times that it appears in any one of the denominators.

Step 3 Multiply the prime factors in the list.

So, the LCD of the fractions is 40.

20 = 2 · 2 · 5

10 = 2 · 5

2, 2, 2, 5

2 · 2 · 2 · 5 = 40

• Subtract 2x from both sides.

We leave the check to you.

The solution is .