Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 2 - Section 2.3 - Further Solving Linear Equations - Exercise Set: 43

Answer

x = 13

Work Step by Step

$\frac{3(x - 5)}{2} = \frac{2(x + 5)}{3}$ Distribute: $\frac{3x - 15}{2} = \frac{2x + 10}{3}$ Multiply both sides by the Least Common Denominator, 6: $6(\frac{3x - 15}{2}) = 6(\frac{2x + 10}{3})$ 3(3x - 15) = 2(2x + 10) 9x - 45 = 4x + 20 Subtract 4x from both sides: 5x - 45 = 20 Add 45 to both sides: 5x = 65 Divide both sides by 5: x = 13
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