Which equation is equivalent to 11x-(2-x)=51?
A: 13x=51
B: 12x=53
C: 12x=49
D:10x=53
To solve the equation 11x - (2 - x) = 51, we need to distribute the negative sign to both terms inside the parentheses:
11x - 2 + x = 51
Combining like terms:
12x - 2 = 51
Now, we can get rid of the -2 on the left side by adding 2 to both sides:
12x = 53
Therefore, the equation equivalent to 11x - (2 - x) = 51 is 12x = 53. The correct answer is D.