Which expression is equivalent to the equation below after completing the first steps in solving for x?
𝟏𝟐𝒙−𝟒=𝟓𝒙+𝟏𝟕
.A 7𝑥=21
B. 17𝑥=21
C. 7𝑥=13
D. 8𝑥=22𝑥
To solve the equation 12x - 4 = 5x + 17, we need to isolate the variable x on one side of the equation.
First, we will combine like terms by subtracting 5x from both sides of the equation:
12x - 4 - 5x = 5x + 17 - 5x
This simplifies to:
7x - 4 = 17
Next, we will isolate the variable x by adding 4 to both sides of the equation:
7x - 4 + 4 = 17 + 4
This simplifies to:
7x = 21
Therefore, the expression that is equivalent to the given equation after completing the first steps of solving for x is 7x = 21.
So, the correct answer is A. 7x = 21.