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What is the solution to the equation? 3.4x - \frac{2}{5} = \frac{12}{5} ○ x = 6.8 ○ x = 0.82 ○ x = -3.4 ○ x...

What is the solution to the equation?
3.4x - \frac{2}{5} = \frac{12}{5}
○ x = 6.8
○ x = 0.82
○ x = -3.4
○ x = 2.5

Answer

To solve the equation 3.4x - \frac{2}{5} = \frac{12}{5}, follow these steps:

  1. Add \( \frac{2}{5} \) to both sides to isolate the term with \( x \):
  2. \( 3.4x = \frac{12}{5} + \frac{2}{5} \)

  3. Simplify the right side:
  4. \( 3.4x = \frac{14}{5} \)

  5. Divide both sides by 3.4 to solve for \( x \):
  6. \( x = \frac{14}{5} \div 3.4 \)

  7. Convert 3.4 to a fraction:
  8. \( 3.4 = \frac{34}{10} = \frac{17}{5} \)

  9. Now divide:
  10. \( x = \frac{14}{5} \times \frac{5}{17} = \frac{14}{17} \approx 0.82 \)

  11. Therefore, the solution is:
  12. x = 0.82

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