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Home > CC4 > Chapter 3 > Lesson 3.1.4 > Problem 3-50

3-50.

Solve each equation below for x. Explain or justify each of your steps. Be sure to check your solutions. Homework Help ✎

  • Multiply both sides by 8.

  • x = 6

  • Use the same steps as (a), but distribute the negative over the parentheses.

  • 5x + (−x) + (−1) = 5 − 2x

  • Start by combining like terms.

  • Start by combining like terms

  • 2x + 5 = x − 3

  • Move x to one side by subtracting x from both sides.

  • 2x + 5 − x = x − 3 − x

  • x + 5 = −3

  • Isolate x by subtracting 5 from each side.

  • x + 5 − 5 = −3 − 5

  • 3(−8) + 5 − (−8) = −8 − 3

  • Don't forget to check your answer!

  • x = −8

  • Use the same method outlined in part (a).