Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-4 Solving Equations with Variables on Both Sides - Lesson Check - Page 105: 3

Answer

The solution set is $(-\infty, +\infty)$. The equation is an identity, which means that the equation is true for all real numbers.

Work Step by Step

Distribute $\frac{1}{2}$ to have: $2a+3=3+2a \\2a+3 = 2a+3$ This is a true statement. Thus, the equation is true for all real numbers. The solution set is the set of all real numbers.
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