Question

Which equations shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3 x minus 5 = negative 2 x + 10? Select two options.

Answer 1

To isolate the variable terms on one side and the constant terms on the other side for the equation \(3x - 5 = -2x + 10\), we can follow these steps:

1. **Add \(2x\) to both sides** to get all \(x\) terms on the left side:
\[
3x + 2x - 5 = 10
\]
which simplifies to:
\[
5x - 5 = 10
\]

2. **Add \(5\) to both sides** to get all constant terms on the right side:
\[
5x = 10 + 5
\]
which simplifies to:
\[
5x = 15
\]

Putting both transformations together, we can express the original equation as:

- \(5x - 5 = 10\)
- \(5x = 15\)

Thus, the two equations that show the variable terms isolated on one side and the constant terms isolated on the other side are:

1. \(5x - 5 = 10\)
2. \(5x = 15\)

These two options correctly isolate variable and constant terms on opposite sides.