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 = 23-8

(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+12

(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+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 + 16-100

(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 of the equations step by step, ensuring to show all the work for full credit.

### Question 1
**Equation:**
\( 4x + 7 = 23 - 8 \)

**Step 1:** Simplify the right side of the equation.
\( 23 - 8 = 15 \)
So, the equation becomes:
\( 4x + 7 = 15 \)

**Step 2:** Subtract 7 from both sides.
\[
4x + 7 - 7 = 15 - 7 \\
4x = 8
\]

**Step 3:** Divide both sides by 4.
\[
\frac{4x}{4} = \frac{8}{4} \\
x = 2
\]

**Final answer:**
\( x = 2 \)

---

### Question 2
**Equation:**
\( -5 = 3m - 14 + 12 \)

**Step 1:** Simplify the right side of the equation.
\[
-14 + 12 = -2 \\
-5 = 3m - 2
\]

**Step 2:** Add 2 to both sides.
\[
-5 + 2 = 3m - 2 + 2 \\
-3 = 3m
\]

**Step 3:** Divide both sides by 3.
\[
\frac{-3}{3} = \frac{3m}{3} \\
m = -1
\]

**Final answer:**
\( m = -1 \)

---

### Question 3
**Equation:**
\( 7(x - 9) = -21 + 21 \)

**Step 1:** Simplify the right side of the equation.
\[
-21 + 21 = 0 \\
7(x - 9) = 0
\]

**Step 2:** Divide both sides by 7.
\[
\frac{7(x-9)}{7} = \frac{0}{7} \\
x - 9 = 0
\]

**Step 3:** Add 9 to both sides.
\[
x = 9
\]

**Final answer:**
\( x = 9 \)

---

### Question 4
**Equation:**
\( 7x - 5 = 3x + 15 \)

**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 both sides by 4.
\[
\frac{4x}{4} = \frac{20}{4} \\
x = 5
\]

**Final answer:**
\( x = 5 \)

---

### Question 5
**Equation:**
\( 8x - 8 = -4x + 16 - 100 \)

**Step 1:** Simplify the right side of the equation.
\[
16 - 100 = -84 \\
8x - 8 = -4x - 84
\]

**Step 2:** Add \( 4x \) to both sides.
\[
8x + 4x - 8 = -84 \\
12x - 8 = -84
\]

**Step 3:** Add 8 to both sides.
\[
12x - 8 + 8 = -84 + 8 \\
12x = -76
\]

**Step 4:** Divide both sides by 12.
\[
x = \frac{-76}{12} \\
x = -\frac{19}{3} = -6.33 \text{ (approximately)}
\]

**Final answer:**
\( x = -\frac{19}{3} \) or \( -6.33 \) (rounded)

---

Feel free to ask if you need further clarification or additional problems to solve!