To solve the equation \(5x + 3(x-1) = 8(x+2) - 10\), let's simplify both sides of the equation:
\[5x + 3x - 3 = 8x + 16 - 10\]
Combine like terms:
\[8x - 3 = 8x + 6\]
Now, subtract \(8x\) from both sides:
\[-3 = 6\]
The equation leads to an inconsistency (\(-3 \neq 6\)). Therefore, there is no solution to the equation.
In conclusion, the given equation has no solution.
