170,981 views
9 votes
9 votes
-Solve the equation. Write a reason for each step. 12x = 28 - 16x

User NightMICU
by
3.0k points

1 Answer

14 votes
14 votes
Let’s solve this with steps as instructed in the problem:

1. Add 16x to both sides

We do this step because we need to eliminate the variable from the right side of the equation. There is a -16 on the right side, and in proper form, x would have to be isolated on the left side. This would look like:

12x + 16x = 28 - 16x + 16x

2. Simplify

We do this step because it makes the equation easier to solve. This would look like:

28x = 28

3. Divide both sides by 28

We do this step because we need to get x by itself on both sides. To do that, we divide by whatever number is the coefficient. This would look like:

28x / 28 = x

28 / 28 = 1

x = 1

This isn’t a required step, but we can plug 1 in for x to make sure our answer is correct:

12(1) = 28 - 16(1)

12 = 28 - 16

12 = 12

Our answer is correct.

Answer Recap: x = 1

User Bhavesh Jadav
by
3.2k points