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

B) Variables on both sides

Step-by-step explanation:

Solving a Linear Equation

Some basic steps are needed to solve a linear equation. We must operate every multiplication or division by applying the correspondent distributive property. Then we must separate variables from constants, then we must collect like terms, and finally, we must isolate the variable by using the division property of equality.

In the example provided in the question, we have

Solve - 2 (7 - 3x) = 4 (-3x + 3)

We apply the distributive property on both sides of the equation:

-14 + 6x = - 12x + 12

Now we must see where are the variables in both sides of the equation and prepare to have them all in one side (usually the left side)

Answer: B) Variables on both sides

Note: The option doesn't clearly state what are we going to do with the variables on both sides, I assumed to observe and prepare the variables for the next step