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Home > CC1 > Chapter 6 > Lesson 6.2.1 > Problem 6-74

6-74.
  1. Are the following expressions equivalent? Homework Help ✎

    3(4x − 2) + 8 2(6x + 1)

Substitute 1 for x into both expressions.
3(4(1) − 2) + 8 = 3(4 − 2) + 8 = 3(2) + 8 = 14
2(6(1) + 1) = 2(7) = 14

Now substitute 2 for x.
3(4(2) − 2) + 8 = 3(8 − 2) + 8 = 3(6) + 8 = 26
2(6(2) + 1) = 2(12 + 1) = 26

You can try other values for x. It appears they are the same.