What is the value of x in the equation 10x + 2 – 5x – 8?

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To find the value of x in the equation 10x + 2 – 5x – 8 = 0, we first need to simplify the equation. Follow these steps:

  1. Combine like terms:

    2. First, let’s group the x terms together and the constant terms together:

    • 10x – 5x
    • 2 – 8

    This gives us:

    • 5x – 6 = 0

Now, we can isolate x:

  1. Add 6 to both sides:

    2. 5x – 6 + 6 = 0 + 6 => 5x = 6

  2. Now, divide both sides by 5:

    3. x = 6 / 5

Thus, the value of x is 1.2. This can also be expressed as a fraction: x = \( \frac{6}{5} \).

To summarize, the solution to the equation 10x + 2 – 5x – 8 = 0 gives us x = 1.2.

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