Question

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3x-5=-2+10

Answer 1

To isolate the variable terms on one side and the constant terms on the other side of the equation 3x - 5 = -2 + 10, add 2 to both sides, simplify to 3x - 3 = 10, then add 3 to both sides to get the final simplified equation 3x = 13.

Step-by-step explanation:

The equation 3x - 5 = -2 + 10 needs to be rearranged to isolate the variable terms on one side and the constant terms on the other. To do this, follow these steps:

1. Add 2 to both sides to move the constant term from the right to the left side: 3x - 5 + 2 = 10.
2. Simplify both sides: 3x - 3 = 10.
3. Add 3 to both sides to completely isolate the constant terms on one side: 3x = 10 + 3.
4. Simplify the equation: 3x = 13.

Now, we have successfully isolated the variable terms (3x) on one side of the equation and the constant terms (13) on the other side.