Which equation is equivalent to 11x - (2-x) = 51?
О A. 13x = 51
© B. 12x = 53
O C. 12x = 19
O D. 10x = 53
To simplify the equation 11x - (2-x) = 51, we first distribute the negative sign to the terms inside the parentheses:
11x - 2 + x = 51
Next, we combine like terms by adding the x terms:
12x - 2 = 51
Finally, we isolate the variable by adding 2 to both sides of the equation:
12x = 53
Therefore, the equation that is equivalent to 11x - (2-x) = 51 is 12x = 53.
The correct answer is option B.