Question

ANSWER QUICK AND I WILL MARK BRAILIEST!!   Quinda begins to solve the equation -4.5x+3=2-8.5x by adding 8.5x to each side of the equation. Which next step would result in the variable terms and constant terms being on different sides of the equals sign?

-Subtract 4x from both sides.
-Subtract 2 from both sides.
-Add 4x to both sides.
-Subtract 3 from both sides.

Answer 1

subtract 3 from both sides

Answer 2

The correct option is D) Subtract 3 from both sides.

Explanation:

Consider the provided equation

`-4.5x+3=2-8.5x`

Step 1:

Now add 8.5x to each side of the above equation.

`-4.5x+3+8.5x=2-8.5x+8.5x`

Add the like terms.

`4x+3=2`

Step 2:

Now to isolate the variable we need to subtract 3 from both the sides.

`4x+3-3=2-3`

`4x=-1`

We need to find the next step that result in the variable terms and constant terms being on different sides of the equals sign.

Thus, the required step is "Subtract 3 from both sides."

Hence, the correct option is D) Subtract 3 from both sides.