Question

Ms. Wilson is solving the equation: 7x−4=3(4x+12)
. Below are her steps so far.

Step 1 (the Distributive Property): 7x−4=12x+36
Step 2 (the Addition Property of Equality): 7x=12x+40
What should Ms. Wilson do next to solve this equation correctly?

Responses

Divide all terms by 10.
Divide all terms by 10.

Subtract 30 from both sides of the equation.
Subtract 30 from both sides of the equation.

Subtract 12x from both sides of the equation.
Subtract 12x from both sides of the equation.

Multiply all terms by x.

Subtract 12x from both sides of the equation.

Ms. Wilson should subtract 12x from both sides of the equation.

To correctly solve the equation 7x - 4 = 12x + 40, Ms. Wilson should subtract 12x from both sides of the equation. This is because the goal is to isolate the variable, 'x', on one side of the equation. By subtracting 12x from both sides, the x terms will be eliminated from the right side of the equation.

So, the correct answer is:

Subtract 12x from both sides of the equation.