Answer:
1. Given
2. Distributive property
3. Subtraction property of equality
4. Division propery of equality
Step-by-step explanation:
The distributive property says that:
a(b + c) = a(b) + a(c)
In this case,
3(x + 5) = -1
3x + 3(5) = -1
3x + 15 = -1
Then, by the subtraction property of equality, we can sustract 15 from both sides, so:
3x + 15 - 15 = -1 - 15
3x = -16
Finally, by the division property of equality, we can divide both sides by 3, so:
3x/3 = -16/3
x = -16/3
Therefore, the reasons for each statement are:
1. Given
2. Distributive property
3. Subtraction property of equality
4. Division propery of equality