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11x – 4 – 7x = 12

[?]x – 4 = 12 (11x and 7x go in the [?])
x = [?]

1 answer

To solve the equation \(11x - 4 - 7x = 12\), we first combine like terms.

  1. Combine \(11x\) and \(-7x\): \[ 11x - 7x = 4x \]

  2. This gives us the equation: \[ 4x - 4 = 12 \]

  3. Now, isolate \(4x\) by adding \(4\) to both sides: \[ 4x = 12 + 4 \] \[ 4x = 16 \]

  4. Next, divide both sides by \(4\): \[ x = \frac{16}{4} \] \[ x = 4 \]

Now, to fill in the blanks in your question:

  1. In the expression \( [?]x - 4 = 12 \), we found that the coefficient of \(x\) is \(4\) (from \(4x\)). So the answer for the first blank is \(4\).

  2. For the value of \(x\), we found that \(x = 4\). So the answer for the second blank is also \(4\).

Final answers:

  • [?] for the coefficient of \(x\) is 4.
  • [?] for the value of \(x\) is 4.