What is the value of x in the equation 2x + 3 = 3x + 4?

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To find the value of x in the equation 2x + 3 = 3x + 4, we need to isolate x on one side of the equation. Let’s go through the steps:

  1. Start with the original equation:

    2x + 3 = 3x + 4

  2. Subtract 2x from both sides:

    3 = 3x – 2x + 4

  3. Simplify the equation:

    3 = x + 4

  4. Next, subtract 4 from both sides:

    3 – 4 = x

  5. Simplifying that gives us:

    -1 = x

Therefore, the value of x is -1.

To double-check our answer, we can substitute x back into the original equation:

  1. Substitute -1 for x in the left side:

    2(-1) + 3 = -2 + 3 = 1

  2. Substitute -1 for x in the right side:

    3(-1) + 4 = -3 + 4 = 1

Since both sides equal 1, our solution x = -1 is confirmed.

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