To solve this equation, we first distribute the 2011 to both terms inside the parentheses:

2011 x + 2011 20 = 10x - 2010

Simplify:

2011x + 40220 = 10x - 2010

Next, we want to get all the x terms on one side of the equation. Let's subtract 10x from both sides:

2011x - 10x + 40220 = -2010

Now simplify:

2001x + 40220 = -2010

Next, subtract 40220 from both sides to isolate the x term:

2001x = -24230

Finally, to solve for x, divide by 2001:

x = -24230 / 2001
x = -12

Therefore, the solution for x is -12.