Question

A solution method for solving the equation 2 x minus 3 equals 5 is shown in the table.



Drag properties to the table to justify the steps in the solution method.

Response area with 3 blank spaces
Solution Step

Justification

2 x minus 3 equals 5
Given

2 x minus 3 plus 3 equals 5 plus 3
Blank space 1 empty

2 x plus 0 equals 8
Addition

2 x equals 8
Blank space 2 empty

1-half left-parenthesis 2 x right-parenthesis equals 1-half left-parenthesis 8 right-parenthesis
Blank space 3 empty

x equals 4
Multiplication


Answer options with 8 options.

Answer 1

Here is the completed table with justifications for each step in the solution method:

| Solution Step | Justification |
|--------------------------------------------|------------------------------|
| 2x - 3 = 5 | Given |
| 2x - 3 + 3 = 5 + 3 | Addition |
| 2x + 0 = 8 | Identity Property of Addition |
| 2x = 8 | Simplification |
| (1/2)(2x) = (1/2)(8) | Multiplication Property of Equality |
| x = 4 | Simplification |

### Justification Assignments for Blank Spaces:
- **Blank space 1 (after first equation):** Identity Property of Addition
- **Blank space 2 (after simplifying):** Simplification
- **Blank space 3 (before final solution):** Multiplication Property of Equality

Feel free to adjust as needed based on specific terminology or structure you're using!