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9x – 8 – 7x = 8

[?]x – 8 = 8 (9x and 7x go in the [?])
x = [?]

1 answer

To solve the equation \(9x - 8 - 7x = 8\), we first combine the like terms on the left side:

  1. Combine \(9x\) and \(-7x\): \[ 9x - 7x = 2x \] So the equation simplifies to: \[ 2x - 8 = 8 \]

Now, we want to solve for \(x\).

  1. Add 8 to both sides: \[ 2x - 8 + 8 = 8 + 8 \] which simplifies to: \[ 2x = 16 \]

  2. Divide by 2: \[ x = \frac{16}{2} = 8 \]

Putting everything together:

In the place of \([?]\) that you mentioned:

  • In the original equation \(9x - 8 - 7x = 8\), the expression \(2x - 8 = 8\) indicates that \([?]\) should be 2 (the coefficient of \(x\)).
  • So, \([?]\) is 2 for the first part and \(x\) value is 8 for the second part.

Final Answers:

  • \([?]\) (coefficient of \(x\)) = 2
  • \(x = 8\)