This problem is done mostly using the distributive property. First, distribute the 5, the 3 and the -5 through each respective set of parentheses, and you have
(10 + 5x) + (-9x - 6) = (-5x + 30) +2
Now the only multiplication involved is with the variable and its coefficients. Combine like terms and you have
4 - 4x = 32 - 5x
Add 5x to both sides and subtract 4 from both sides and you are left with x = 28.
Substitute 28 for x in the original equation, turn the crank and voila it's correct!