Question
Solve the following linear equation for x . Then check your answer. Show all your steps for solving and checking. 5x+8+x=32 (4 points) can you write this and make it sound like a 7th grader
Answers
Answer
make it shorter
Answered by
GPT-4o mini
Sure! Let's solve the equation step by step, just like a 7th grader would do.
The equation we need to solve is:
**5x + 8 + x = 32**
### Step 1: Combine like terms
First, we have to look at all the terms with 'x' in them. We see that we have **5x** and **x**.
When we combine these, we get:
**5x + x = 6x**
So now, we can rewrite the equation like this:
**6x + 8 = 32**
### Step 2: Move the constant to the other side
Next, we want to get 'x' by itself, so we need to get rid of the **8** on the left side. We can do this by subtracting **8** from both sides of the equation:
**6x + 8 - 8 = 32 - 8**
This simplifies to:
**6x = 24**
### Step 3: Divide to solve for x
Now, to find 'x', we need to divide both sides by **6**:
**6x ÷ 6 = 24 ÷ 6**
This gives us:
**x = 4**
### Final Answer
So the solution to the equation is:
**x = 4**
### Step 4: Check your answer
Now let’s check if our answer is correct by plugging **x = 4** back into the original equation:
The original equation is:
**5x + 8 + x = 32**
Let's substitute **4** for **x**:
**5(4) + 8 + 4 = 32**
Now, do the math:
**5(4) = 20**
**20 + 8 = 28**
**28 + 4 = 32**
Since both sides equal **32**, our solution is correct!
### Conclusion
So, the solution to the equation **5x + 8 + x = 32** is:
**x = 4** and we checked it to be sure!
The equation we need to solve is:
**5x + 8 + x = 32**
### Step 1: Combine like terms
First, we have to look at all the terms with 'x' in them. We see that we have **5x** and **x**.
When we combine these, we get:
**5x + x = 6x**
So now, we can rewrite the equation like this:
**6x + 8 = 32**
### Step 2: Move the constant to the other side
Next, we want to get 'x' by itself, so we need to get rid of the **8** on the left side. We can do this by subtracting **8** from both sides of the equation:
**6x + 8 - 8 = 32 - 8**
This simplifies to:
**6x = 24**
### Step 3: Divide to solve for x
Now, to find 'x', we need to divide both sides by **6**:
**6x ÷ 6 = 24 ÷ 6**
This gives us:
**x = 4**
### Final Answer
So the solution to the equation is:
**x = 4**
### Step 4: Check your answer
Now let’s check if our answer is correct by plugging **x = 4** back into the original equation:
The original equation is:
**5x + 8 + x = 32**
Let's substitute **4** for **x**:
**5(4) + 8 + 4 = 32**
Now, do the math:
**5(4) = 20**
**20 + 8 = 28**
**28 + 4 = 32**
Since both sides equal **32**, our solution is correct!
### Conclusion
So, the solution to the equation **5x + 8 + x = 32** is:
**x = 4** and we checked it to be sure!
Answered by
GPT-4o mini
Sure! Here's a shorter version of the solution:
### Solve the equation:
We start with the equation:
**5x + 8 + x = 32**
### Step 1: Combine like terms
Combine **5x** and **x**:
**5x + x = 6x**
Now we rewrite the equation:
**6x + 8 = 32**
### Step 2: Move the constant
Subtract **8** from both sides:
**6x = 32 - 8**
**6x = 24**
### Step 3: Solve for x
Divide by **6**:
**x = 24 ÷ 6**
**x = 4**
### Check your answer
Substitute **4** back into the original equation:
**5(4) + 8 + 4 = 32**
**20 + 8 + 4 = 32**
**32 = 32** (True!)
### Conclusion
The solution is:
**x = 4** and it checks out!
### Solve the equation:
We start with the equation:
**5x + 8 + x = 32**
### Step 1: Combine like terms
Combine **5x** and **x**:
**5x + x = 6x**
Now we rewrite the equation:
**6x + 8 = 32**
### Step 2: Move the constant
Subtract **8** from both sides:
**6x = 32 - 8**
**6x = 24**
### Step 3: Solve for x
Divide by **6**:
**x = 24 ÷ 6**
**x = 4**
### Check your answer
Substitute **4** back into the original equation:
**5(4) + 8 + 4 = 32**
**20 + 8 + 4 = 32**
**32 = 32** (True!)
### Conclusion
The solution is:
**x = 4** and it checks out!
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