5(2x + 4) - (3x - 1) = 11

First, we apply the distributive property by multiplying 5 to each term inside the parentheses:

10x + 20 - (3x - 1) = 11

Next, we remove the parentheses by distributing the negative sign to each term inside the second set of parentheses:

10x + 20 - 3x + 1 = 11

Combining like terms, we simplify the equation:

(10x - 3x) + (20 + 1) = 11

7x + 21 = 11

To isolate the variable x, we subtract 21 from both sides:

7x = 11 - 21

7x = -10

Finally, we solve for x by dividing both sides of the equation by 7:

x = -10/7

Therefore, the solution to the equation is x = -10/7.