To identify the reciprocal, we first need to clarify the fraction presented. The equation you provided seems to contain a fraction that is missing at least one component. If we consider the fraction in front of the \( (x - 4) \), you wrote "−10 2 3" which might indicate that it should be interpreted as fractions in the equation.
Assuming that \( \frac{2}{3} \) is the coefficient of \( (x - 4) \), then the equation is:
\[ \frac{2}{3}(x - 4) = -10 \]
The reciprocal of a fraction is obtained by flipping it. Thus, the reciprocal of \( \frac{2}{3} \) is \( \frac{3}{2} \).
So, the answer is:
The reciprocal is \( \frac{3}{2} \).
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