Question #N897
The equation $3x-12 = 6x+3$ is equivalent to which of the following equations?
A. $-3x=15$
B. $3x=9$
C. $-3x=9$
D. $-3x=-15$
Correct Answer is: C
To solve for $x$, we can subtract $3x$ from both sides of the equation. This gives us $-12 = 3x + 3$. Subtracting 3 from both sides gives us $-15 = 3x$. Dividing both sides by 3 gives us $-5 = x$. This means $x$ must be equal to $-5$. The only choice that gives a result of $-5$ when solved for $x$ is choice C. Solving $-3x = 9$ for $x$ gives us $x = -3$, which is not correct.