To solve the equation, we first need to distribute the values within the parentheses:

2x + 3x + 30 = 10 - 5x - 10

Next, combine like terms on both sides of the equation:

5x + 30 = -5x

Now, isolate the variable terms on one side of the equation:

5x + 5x = -30
10x = -30

Finally, solve for x by dividing both sides by 10:

x = -3

Therefore, the solution to the equation 2x + 3(x+10) = 10 - 5(x+2) is x = -3.