Which equation is equivalent to 11x - (2 - x) = 51?
A. 13x = 51
B. 12x = 53
C. 12x = 49
D. 10x = 53
To solve this equation, let's distribute the negative sign to the terms inside the parentheses:
11x - 2 + x = 51
Now, combine like terms:
12x - 2 = 51
To isolate the variable term, add 2 to both sides of the equation:
12x - 2 + 2 = 51 + 2
12x = 53
Divide both sides of the equation by 12:
(12x) / 12 = 53 / 12
x = 53 / 12
Therefore, the equivalent equation is option D: 10x = 53.