How do you solve the equation 2x + 15 = 6x + 9?

To solve the equation 2x + 15 = 6x + 9, we can follow these steps:

  1. Rearrange the equation: Start by moving all terms involving x to one side of the equation and the constant terms to the other side. We can do this by subtracting 2x from both sides:
    2x + 15 - 2x = 6x + 9 - 2x

    This simplifies to:

    15 = 4x + 9
  2. Isolate the x term: Next, we want to get x by itself. We can subtract 9 from both sides:
    15 - 9 = 4x + 9 - 9

    Which simplifies to:

    6 = 4x
  3. Divide to solve for x: Now divide both sides by 4 to solve for x:
    x = 6 / 4

    Simplifying that gives:

    x = 3 / 2

    or x = 1.5.

So, the solution to the equation 2x + 15 = 6x + 9 is x = 1.5.

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