Use the distributive property to solve the equation 3x=15?

  x = 5

Step-by-step explanation:

Ordinarily, one would not need the distributive property to solve this equation. It is quickly and easily solved by making use of the multiplication property of equality: multiply both sides of the equation by 1/3.

  3x(1/3) = 15(1/3)

  x = 5

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To use the distributive property, we need the sum of two terms that have a common factor. We can get that form by subtracting 15 from both sides of the equation (subtraction property of equality):

  3x - 15 = 15 - 15 . . . . subtract 15

  3x -15 = 0 . . . . . . . . .simplify

Now, we can apply the distributive property to remove a factor of 3:

  3(x -5) = 0

And we can use the multiplication property of equality to multiply by 1/3:

  3(1/3)(x -5) = 0(1/3)

  x -5 = 0 . . . . . . . . . . simplify

Finally, we can add 5 to both sides of the equation (addition property of equality):

  x -5 +5 = 0 +5

  x + 0 = 5 . . . . . . simplify

  x = 5 . . . . . . . . . .simplify more

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