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