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Solve the following equation

publish date2023/11/07 07:38:00 UTC

volume_mute

2x + 6 = 10

x =

Correct Answer

(1) 2

Explanation

  • This is the equation to solve
    • 2x + 6 = 10
  • To undo the addition of 6, subtract 6 from both sides.
    • 2x + 6 - 6 = 10 - 6
  • Do the subtractions
    • 2x = 4
  • To undo the multiplication by 2, divide both sides by 2
    • \(\frac{2x}{2} = \frac{4}{2}\)
  • On the left side, simplify by removing the common factor of 2 from the numerator and denominator.  \(\require{cancel} \frac{\cancel{2}^1x}{\cancel{2}_1} = x\).  On the right side, do the division. 

The solution is 2.

Reference

Mathematics for college students


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