Multiple choice

What is the value of x, in linear equation 11 (x + 7) = 2x + 13?

  1. x = - $\frac{6.4}{9}$
  2. x = $\frac{2}{3}$
  3. x = $\frac{90}{13}$
  4. $x=\frac{22}{4}$
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A Correct answer
Explanation

11(x + 7) = 2x + 13             11x + 77 = 2x + 13             11x – 2x = 13 – 77             9x = – 64             x =$\frac{-64}{9}$.

AI explanation

Distributing the 11 gives 11x + 77 = 2x + 13. Subtracting 2x and 77 from both sides gives 9x = -64, so x = -64/9 (about -7.11). This matches the marked option, whose displayed fraction has a rendering typo ('6.4' instead of '64') but represents the same correct value; none of the other three options satisfy the equation when substituted back in.

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