How do I solve the equation 8 + 2x + 8x = 14?

To solve the equation 8 + 2x + 8x = 14, we will follow a series of steps to isolate the variable x.

  1. Combine like terms: In the equation, we have 2x and 8x, which can be combined.
  2. 2x + 8x = 10x
  3. Now, rewrite the equation with the combined terms:
  4. 8 + 10x = 14
  5. Subtract 8 from both sides: To isolate the term with x, we need to get rid of the constant on the left side.
  6. 10x = 14 - 8
  7. Perform the subtraction:
  8. 10x = 6
  9. Divide both sides by 10: Now, to solve for x, divide both sides by 10.
  10. x = 6 / 10
  11. Finally, simplify the fraction:
  12. x = 3 / 5

Therefore, the solution to the equation 8 + 2x + 8x = 14 is:

x = 0.6 or x = 3/5.

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