Question 4710
First step is to remove the parentheses by the distributive property.  Sometimes it helps to write your original problem with a 1 before the parentheses:

11x - 1(6x - 5) = 40
11x - 6x + 5 = 40


Combine like terms on the left side:
5x + 5 = 40


Subtract 5 from each side of the equation:
5x + 5 - 5 = 40 - 5
5x = 35


Divide each side of the equation by 5:
{{{5x /5 = 35/5}}}
{{{x = 7}}}


Check in the original equation:
11x - (6x-5) = 40
{{{11*7 - (6*7 - 5) = 40}}}
{{{77 - (42-5) = 40}}}
{{{77- 37 = 40}}}
{{{40 = 40}}} It checks!!


R^2 at SCC