Question

what does x equal

1. X/3 + (-2) = -8
2. -X/4+24=21
3. x/7-7=-14
4. x/-2 + (-4)=7

Answer 1

Let's solve each equation one by one:

1. For the equation \( \frac{X}{3} + (-2) = -8 \):
\[
\frac{X}{3} - 2 = -8
\]
Adding 2 to both sides:
\[
\frac{X}{3} = -8 + 2 \Rightarrow \frac{X}{3} = -6
\]
Multiplying both sides by 3:
\[
X = -6 \times 3 \Rightarrow X = -18
\]

2. For the equation \( -\frac{X}{4} + 24 = 21 \):
\[
-\frac{X}{4} = 21 - 24 \Rightarrow -\frac{X}{4} = -3
\]
Multiplying both sides by -1:
\[
\frac{X}{4} = 3
\]
Multiplying both sides by 4:
\[
X = 3 \times 4 \Rightarrow X = 12
\]

3. For the equation \( \frac{X}{7} - 7 = -14 \):
\[
\frac{X}{7} = -14 + 7 \Rightarrow \frac{X}{7} = -7
\]
Multiplying both sides by 7:
\[
X = -7 \times 7 \Rightarrow X = -49
\]

4. For the equation \( \frac{X}{-2} + (-4) = 7 \):
\[
\frac{X}{-2} - 4 = 7
\]
Adding 4 to both sides:
\[
\frac{X}{-2} = 7 + 4 \Rightarrow \frac{X}{-2} = 11
\]
Multiplying both sides by -2:
\[
X = 11 \times -2 \Rightarrow X = -22
\]

### Summary of Solutions:
1. \( X = -18 \)
2. \( X = 12 \)
3. \( X = -49 \)
4. \( X = -22 \)