To solve the equation \( 5x - 10 + 11(-3 + 2x) = 10 \), let's first simplify it step by step.
Distribute \( 11 \) inside the parentheses:
\[ 11(-3 + 2x) = 11 \cdot -3 + 11 \cdot 2x = -33 + 22x \]
Substitute this back into the equation:
\[ 5x - 10 - 33 + 22x = 10 \]
Combine like terms on the left side:
\[ (5x + 22x) + (-10 - 33) = 10 \] \[ 27x - 43 = 10 \]
Now, isolate \( x \) by adding \( 43 \) to both sides:
\[ 27x = 10 + 43 \] \[ 27x = 53 \]
Finally, divide by \( 27 \) to solve for \( x \):
\[ x = \frac{53}{27} \]
So the solution to the equation \( 5x - 10 + 11(-3 + 2x) = 10 \) is:
\[ x = \frac{53}{27} \]