To solve the equation \(-\frac{4}{3}x + 2 = 10\), follow these steps:
- Subtract 2 from both sides of the equation:
\[ -\frac{4}{3}x + 2 - 2 = 10 - 2 \]
This simplifies to:
\[ -\frac{4}{3}x = 8 \]
- Next, to isolate \(x\), multiply both sides of the equation by \(-\frac{3}{4}\) (the reciprocal of \(-\frac{4}{3}\)):
\[ x = 8 \cdot -\frac{3}{4} \]
- Now compute the right side:
\[ x = -\frac{24}{4} \]
This simplifies to:
\[ x = -6 \]
So the solution is:
\[ \boxed{-6} \]
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