Question

Watch the following video to learn how to solve two-step equations:
Video Player

Examples of how work should look
If typed:

2x-8=28

2x=36

x=18

If uploaded:



Please make sure that I can see your work and answer clearly.

Question 1
In each of the following problems you will be solving multi-step equations. YOU MUST SHOW WORK IN ORDER TO RECIEVE FULL CREDIT. You can either type it or upload it.

Each question is worth 2 points (1 point for the work and 1 point for the correct answer.)



1. Solve the following equation for x:

4x + 7 = 23

(1 point)
x =


Question 2
You may either type your work or upload a picture using the button.(1 point)
0 / 10000 Word Limit
Question 3
2. Solve the following equation for x:

-5 = 3m - 14

(1 point)
x =


Question 4
You may either type your work or upload a picture using the button.(1 point)
0 / 10000 Word Limit
Question 5
3. Solve the following equation for x:

7(x - 9) = -21

(1 point)
x =


Question 6
You may either type your work or upload a picture using the button.(1 point)
0 / 10000 Word Limit
Watch the following video to learn how to solve equations with variables on both sides of the equal sign:
Video Player

Question 7
4. Solve the following equation for x:

7x - 5 = 3x + 15

(1 point)
x=


Question 8
You may either type your work or upload a picture using the button.(1 point)
0 / 10000 Word Limit
Question 9
5. Solve the following equation for x:

8x - 8 = -4x + 16

(1 point)
x =


Question 10
You may either type your work or upload a picture using the button.(1 point)


0 / 10000 Word Limit
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Answer 1

Let’s solve each equation step by step while showing the work:

### Question 1
**Solve the following equation for x:**
\[ 4x + 7 = 23 \]

**Step 1:** Subtract 7 from both sides:
\[
4x + 7 - 7 = 23 - 7
\]
\[
4x = 16
\]

**Step 2:** Divide by 4:
\[
\frac{4x}{4} = \frac{16}{4}
\]
\[
x = 4
\]

**Answer:**
\( x = 4 \)

---

### Question 2
**Solve the following equation for x:**
\[ -5 = 3m - 14 \]

**Step 1:** Add 14 to both sides:
\[
-5 + 14 = 3m - 14 + 14
\]
\[
9 = 3m
\]

**Step 2:** Divide by 3:
\[
\frac{9}{3} = \frac{3m}{3}
\]
\[
m = 3
\]

**Answer:**
\( m = 3 \)

---

### Question 3
**Solve the following equation for x:**
\[ 7(x - 9) = -21 \]

**Step 1:** Distribute 7:
\[
7x - 63 = -21
\]

**Step 2:** Add 63 to both sides:
\[
7x - 63 + 63 = -21 + 63
\]
\[
7x = 42
\]

**Step 3:** Divide by 7:
\[
\frac{7x}{7} = \frac{42}{7}
\]
\[
x = 6
\]

**Answer:**
\( x = 6 \)

---

### Question 4
**Solve the following equation for x:**
\[ 7x - 5 = 3x + 15 \]

**Step 1:** Subtract 3x from both sides:
\[
7x - 3x - 5 = 15
\]
\[
4x - 5 = 15
\]

**Step 2:** Add 5 to both sides:
\[
4x - 5 + 5 = 15 + 5
\]
\[
4x = 20
\]

**Step 3:** Divide by 4:
\[
\frac{4x}{4} = \frac{20}{4}
\]
\[
x = 5
\]

**Answer:**
\( x = 5 \)

---

### Question 5
**Solve the following equation for x:**
\[ 8x - 8 = -4x + 16 \]

**Step 1:** Add \( 4x \) to both sides:
\[
8x + 4x - 8 = 16
\]
\[
12x - 8 = 16
\]

**Step 2:** Add 8 to both sides:
\[
12x - 8 + 8 = 16 + 8
\]
\[
12x = 24
\]

**Step 3:** Divide by 12:
\[
\frac{12x}{12} = \frac{24}{12}
\]
\[
x = 2
\]

**Answer:**
\( x = 2 \)

---

Please follow the structured format and be sure to double-check your work for clarity and accuracy when submitting your solutions!