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 Number of inequalities to solve: 23456789
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# Solving Linear Equations Containing Fractions

Solve: Solution 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. 8 = 2 Â· 2 Â·220 = 2 Â· 2 Â· 5 10 = 2 Â· 5 2, 2, 2, 5 2 Â· 2 Â· 2 Â· 5 = 40 Next, clear the fractions: â€¢ Multiply each side by the LCD, 40. â€¢ Simplify. 5x = 2x - 4 Then, solve the equation for x: â€¢ Subtract 2x from both sides. 3x = -4 â€¢ Divide both sides by 3. We leave the check to you. The solution is . Note: can also be written as 