Question

Question Solve for x . −20=−5+3x (1 point) x=

Answer 1

Solve for x . 20=5−38x (1 point) x=

Answer 2

Solve for x . 7(4x−15)=63 (1 point) x=

Answer 3

Solve for x : −2(3x−15)−25=35 .(1 point) x=

Answer 4

Solve for x : 12x+5=10x−11 .(1 point) x=

Answer 5

At the beginning of the month, a song on a streaming service already had 1,000 listens, and was getting 38 new listens each day. Meanwhile, a different song already had 900 listens, and was getting 40 new listens each day. Write an equation to show the number of days it would take for the two songs to have the same number of listens. Use x as your variable.(1 point)

Answer 6

To solve the equation \(-20 = -5 + 3x\), follow these steps:

1. **Add 5 to both sides** to isolate the term with \(x\):
\[
-20 + 5 = 3x
\]
\[
-15 = 3x
\]

2. **Divide both sides by 3** to solve for \(x\):
\[
x = \frac{-15}{3}
\]
\[
x = -5
\]

So, the solution is \(x = -5\).

Answer 7

To solve the equation \(20 = 5 - 38x\), follow these steps:

1. **Subtract 5 from both sides**:
\[
20 - 5 = -38x
\]
\[
15 = -38x
\]

2. **Divide both sides by \(-38\)** to solve for \(x\):
\[
x = \frac{15}{-38}
\]
\[
x = -\frac{15}{38}
\]

So the solution is:
\[
x = -\frac{15}{38}
\]

Answer 8

To solve the equation \(7(4x - 15) = 63\), follow these steps:

1. **Divide both sides by 7** to simplify the equation:
\[
4x - 15 = \frac{63}{7}
\]
\[
4x - 15 = 9
\]

2. **Add 15 to both sides** to isolate the term with \(x\):
\[
4x = 9 + 15
\]
\[
4x = 24
\]

3. **Divide both sides by 4** to solve for \(x\):
\[
x = \frac{24}{4}
\]
\[
x = 6
\]

So the solution is \(x = 6\).

Answer 9

To solve the equation \(-2(3x - 15) - 25 = 35\), follow these steps:

1. **Distribute \(-2\)** to the terms inside the parentheses:
\[
-2 \cdot 3x + 2 \cdot 15 - 25 = 35
\]
\[
-6x + 30 - 25 = 35
\]

2. **Combine like terms** on the left side:
\[
-6x + 5 = 35
\]

3. **Subtract 5 from both sides** to isolate the term with \(x\):
\[
-6x = 35 - 5
\]
\[
-6x = 30
\]

4. **Divide both sides by -6** to solve for \(x\):
\[
x = \frac{30}{-6}
\]
\[
x = -5
\]

So the solution is \(x = -5\).

Answer 10

To solve the equation \(12x + 5 = 10x - 11\), follow these steps:

1. **Subtract \(10x\) from both sides** to get all the \(x\) terms on one side:
\[
12x - 10x + 5 = -11
\]
\[
2x + 5 = -11
\]

2. **Subtract 5 from both sides** to isolate the term with \(x\):
\[
2x = -11 - 5
\]
\[
2x = -16
\]

3. **Divide both sides by 2** to solve for \(x\):
\[
x = \frac{-16}{2}
\]
\[
x = -8
\]

So the solution is \(x = -8\).

Answer 11

Let's denote the number of listens for the first song (which starts with 1,000 listens and gains 38 listens per day) as \(L_1\), and the number of listens for the second song (which starts with 900 listens and gains 40 listens per day) as \(L_2\).

We can express the number of listens for each song after \(x\) days with the following equations:

- For the first song:
\[
L_1 = 1000 + 38x
\]

- For the second song:
\[
L_2 = 900 + 40x
\]

To find the number of days it would take for the two songs to have the same number of listens, we set the two equations equal to each other:

\[
1000 + 38x = 900 + 40x
\]

This equation represents the situation, and you can solve it to find the value of \(x\) (the number of days). Would you like me to solve it for you?