Question

Solve the following linear equations for X. The check
your answer. Show all of your steps for solving and checking.

5x + 8 + x = 32

Answer 1

Make it like a 8th grader wrote it

Answer 2

Take these * out and make it in categories and in order but all right

Answer 3

Now take the Hashtags out

Answer 4

To solve the linear equation \( 5x + 8 + x = 32 \), we will follow these steps:

### Step 1: Combine like terms
First, we can combine the terms with \( x \) on the left side of the equation:

\[
5x + x = 6x
\]

So the equation becomes:

\[
6x + 8 = 32
\]

### Step 2: Subtract 8 from both sides
Next, we want to isolate the term with \( x \). We can do this by subtracting 8 from both sides:

\[
6x + 8 - 8 = 32 - 8
\]

This simplifies to:

\[
6x = 24
\]

### Step 3: Divide both sides by 6
Now, we will divide both sides by 6 to solve for \( x \):

\[
x = \frac{24}{6}
\]

This gives us:

\[
x = 4
\]

### Step 4: Check the solution
To verify our solution, we will substitute \( x = 4 \) back into the original equation to see if both sides are equal:

The original equation is:

\[
5x + 8 + x = 32
\]

Substituting \( x = 4 \):

\[
5(4) + 8 + 4 = 32
\]

Calculating the left side:

\[
20 + 8 + 4 = 32
\]
\[
32 = 32
\]

Since both sides of the equation are equal, our solution \( x = 4 \) is confirmed to be correct.

### Final Answer
\[
x = 4
\]

Answer 5

Sure! Here’s how an 8th grader might write the solution:

---

**Problem: Solve the equation 5x + 8 + x = 32.**

**Step 1: Combine like terms.**

First, I see that there are two \( x \) terms on the left. I can combine them:

\[
5x + x = 6x
\]

So now the equation looks like this:

\[
6x + 8 = 32
\]

---

**Step 2: Get \( x \) by itself.**

Next, I want to get rid of the \( 8 \) on the left side. I do that by subtracting \( 8 \) from both sides of the equation:

\[
6x + 8 - 8 = 32 - 8
\]

This simplifies to:

\[
6x = 24
\]

---

**Step 3: Solve for \( x \).**

Now, I need to find out what \( x \) is. I will divide by \( 6 \) because I have \( 6x \):

\[
x = \frac{24}{6}
\]

When I do the division, I get:

\[
x = 4
\]

---

**Step 4: Check my answer.**

Now I should check if \( x = 4 \) makes the original equation true. I’ll plug \( 4 \) back into the original equation:

\[
5(4) + 8 + 4 = 32
\]

Calculating this gives:

\[
20 + 8 + 4 = 32
\]

Adding it all up:

\[
20 + 8 = 28 \quad \text{and then} \quad 28 + 4 = 32
\]

Since both sides equal \( 32 \), my answer is correct!

---

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

---

That’s how I solved the problem!

Answer 6

Sure! Here’s a well-organized version of the solution with the steps in categories and order, presented clearly:

---

### Problem
Solve the equation:
**5x + 8 + x = 32**

---

### Steps to Solve

#### Step 1: Combine Like Terms
- Combine the \( x \) terms on the left side:
\[
5x + x = 6x
\]
- Now the equation looks like:
\[
6x + 8 = 32
\]

---

#### Step 2: Isolate the \( x \) Term
- Subtract \( 8 \) from both sides to get rid of the constant:
\[
6x + 8 - 8 = 32 - 8
\]
- This simplifies to:
\[
6x = 24
\]

---

#### Step 3: Solve for \( x \)
- Divide both sides by \( 6 \):
\[
x = \frac{24}{6}
\]
- This gives:
\[
x = 4
\]

---

### Check the Solution
To verify that \( x = 4 \) is correct, substitute \( 4 \) back into the original equation:
- Original equation:
\[
5x + 8 + x = 32
\]
- Substitute \( x = 4 \):
\[
5(4) + 8 + 4 = 32
\]
- Calculate each part:
\[
20 + 8 + 4 = 32
\]
- Simplifying:
\[
20 + 8 = 28 \quad \text{and} \quad 28 + 4 = 32
\]
- Since both sides equal \( 32 \), the solution is confirmed to be correct!

---

### Final Answer
**\( x = 4 \)**

---

This format presents the solution in a clear and organized way, making it easy to follow each step.

Answer 7

Of course! Here’s the solution presented without hashtags but still organized and clear:

---

**Problem**
Solve the equation:
**5x + 8 + x = 32**

---

**Steps to Solve**

**Step 1: Combine Like Terms**
- Combine the \( x \) terms on the left side:
\[
5x + x = 6x
\]
- Now the equation looks like:
\[
6x + 8 = 32
\]

---

**Step 2: Isolate the \( x \) Term**
- Subtract \( 8 \) from both sides to get rid of the constant:
\[
6x + 8 - 8 = 32 - 8
\]
- This simplifies to:
\[
6x = 24
\]

---

**Step 3: Solve for \( x \)**
- Divide both sides by \( 6 \):
\[
x = \frac{24}{6}
\]
- This gives:
\[
x = 4
\]

---

**Check the Solution**
To verify that \( x = 4 \) is correct, substitute \( 4 \) back into the original equation:
- Original equation:
\[
5x + 8 + x = 32
\]
- Substitute \( x = 4 \):
\[
5(4) + 8 + 4 = 32
\]
- Calculate each part:
\[
20 + 8 + 4 = 32
\]
- Simplifying:
\[
20 + 8 = 28 \quad \text{and} \quad 28 + 4 = 32
\]
- Since both sides equal \( 32 \), the solution is confirmed to be correct!

---

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

---

This format ensures that each part of the solution is easy to read and follow.