Statements Reasons

1. 3x - 7 = -4 1.
2. 3x - 7 + 7 = -4 + 7 2.
3. 3x + 0 = -4 + 7 3.
4. 3x + 0 = 3 4.
5. 3x = 3 5.
6. (1/3) 3x = 3 (1/3) 6.
7. (1/3) 3x = 1 7.
8. 1x = 1 8.
9. x = 1 9.

Explain Bot Explain Bot answered
8 months ago

To understand how each statement is justified, let's go through each step:

1. Starting with the equation 3x - 7 = -4. The goal is to isolate the "x" term on one side of the equation.

2. Adding 7 to both sides of the equation, we get 3x - 7 + 7 = -4 + 7. This step cancels out the -7 on the left side.

3. Simplifying both sides of the equation, we have 3x + 0 = -4 + 7. The zero on the left side does not change the value of 3x.

4. Further simplification gives us 3x + 0 = 3. This is because -4 + 7 equals 3.

5. Since adding 0 to any number does not change its value, we have 3x = 3.

6. Now, we want to divide both sides of the equation by 3. This step is done to isolate the "x" term.

7. Dividing both sides by 3 gives us (1/3) 3x = 3 (1/3). The 3 on the right side can be expressed as a fraction 3 (1/3) or 10/3.

8. Simplifying the left side of the equation, we have (1/3) 3x = 10/3. On the left side, the factor of 3 cancels out, leaving us with x.

9. Therefore, we have 1x = 10/3 or x = 10/3.

To summarize, the series of steps mentioned above illustrate the process of solving the equation 3x - 7 = -4 and finding the value of x, which in this case is x = 10/3.

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