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How do I solve 5(x - 3) - 6(x - 2) ≤ 8

How do I solve 5(x - 3) - 6(x - 2) ≤ 8
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4 votes
How do I solve 5(x - 3) - 6(x - 2) ≤ 8

User Max Markov
by
7.9k points

2 Answers

6 votes
Do whatever is in the ( ) first
User Qubsup
by
7.9k points
12 votes

Answer:

x ≥ -11

Explanation:

Distribution of the terms

  • 5(x - 3) - 6(x - 2) ≤ 8
  • 5x - 15 - 6x + 12 ≤ 8

Combine like terms

  • 5x - 15 - 6x + 12 ≤ 8
  • -x - 3 ≤ 8

Add 3 on each side.

  • -x - 3 + 3 ≤ 8 + 3
  • -x ≤ 11

Divide by -1 (change sign)

  • -x/-1 ≤ 11/-1
  • x ≥ -11
User Anthony Anisimov
by
8.7k points
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