How do you solve the equation 62x + 42 = 2x + 4 + 2?

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To solve the equation 62x + 42 = 2x + 4 + 2, we will follow these steps:

  1. Simplify the equation: First, we will simplify the right side of the equation.
  2. Combine like terms: On the right side, we add 4 and 2 to get 6.
  3. The equation now looks like this:

    4. 62x + 42 = 2x + 6

  4. Rearrange the equation: To isolate x, we need to get all x terms on one side and the constant terms on the other side.
  5. Subtract 2x from both sides:

    6. 62x – 2x + 42 = 6

    This simplifies to:

    60x + 42 = 6

  6. Isolate the constant: Next, subtract 42 from both sides:

    7. 60x = 6 – 42

    This simplifies to:

    60x = -36

  7. Divide by 60: Finally, divide both sides by 60 to find x:

    8. x = -36 / 60

    This simplifies to:

    x = -3/5 or x = -0.6

So, the solution to the equation 62x + 42 = 2x + 4 + 2 is x = -0.6.

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