Solve for x: 2x - 7 > 5

Published on October 7, 2024

Algebra

Solve for x in the inequality 2x - 7 > 5. The solution is x > 6.

Question

Solve for x: 2x - 7 > 5

Answer

Here’s how to solve the inequality step-by-step:
1. Isolate the x term:
  • Add 7 to both sides of the inequality:
    2x - 7 + 7 > 5 + 7 
    
    This simplifies to:
    2x > 12
    
2. Solve for x:
  • Divide both sides of the inequality by 2:
    2x / 2 > 12 / 2
    
    This gives you:
    x > 6 
    
Answer: