After applying the distributive property on both sides of the equation, what is the next step?
Solve -2(7 - 3x) = 4(-3x + 3)
A) Multiplication property of equality
B) Variables on both sides
C) Division property of equality
D) Combine like terms on the left side of the equation
D is a good response
The next step after applying the distributive property on both sides of the equation -2(7 - 3x) = 4(-3x + 3) would be to simplify the equation further by multiplying and combining like terms.
First, let's apply the distributive property on the left side of the equation:
-2(7 - 3x) = -14 + 6x
Next, apply the distributive property on the right side of the equation:
4(-3x + 3) = -12x + 12
Now, our equation becomes:
-14 + 6x = -12x + 12
The next step would be to combine like terms on both sides of the equation. In this case, we can combine the x terms on the left side and the constant terms on the right side.
To do this, we can add 12x to both sides of the equation, which gives us:
-14 + 6x + 12x = -12x + 12 + 12x
Simplifying further:
18x - 14 = 12
Now, the equation has only x terms on the left side and constant terms on the right side. We can then proceed with the suitable method (like multiplication, division, or variables on both sides) to solve for x.