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1 vote
3 1/5x+10 7/9-2 2/5x-10 8/9=x what is x?

2 Answers

1 vote

Answer:

x = -5/9

Step-by-step explanation:

3 1/5x + 10 7/9 - 2 2/5x - 10 8/9 = x ⇒ combine like terms

3 1/5x - 2 2/5x - x = 10 8/9 - 10 7/9

(3x - 2x - x) + 1/5x - 2/5x = 10 - 10 + 8/9 - 7/9 ⇒ simplify

1/5x - 2/5x = 1/9

-1/5x = 1/9 ⇒ multiply by -5

x = -5/9

User Ben Kovitz
by
3.8k points
3 votes

Answer:

  • x = -5/9

Explanation:

  • 3 1/5x + 10 7/9 - 2 2/5x - 10 8/9 = x ⇒ combine like terms
  • 3 1/5x - 2 2/5x - x = 10 8/9 - 10 7/9
  • (3x - 2x - x) + 1/5x - 2/5x = 10 - 10 + 8/9 - 7/9 ⇒ simplify
  • 1/5x - 2/5x = 1/9
  • -1/5x = 1/9 ⇒ multiply by -5
  • x = -5/9
User Marisa
by
4.5k points