Solve the following linear equation for x . Then check your answer. Show all your steps for solving and checking.

5x + 8 + x = 32

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

To solve the linear equation 5x + 8 + x = 32 for x, we first need to combine like terms:

5x + x + 8 = 32
6x + 8 = 32

Next, we isolate the variable x by subtracting 8 from both sides:

6x + 8 - 8 = 32 - 8
6x = 24

Now, we divide both sides by 6 to solve for x:

6x / 6 = 24 / 6
x = 4

To check our answer:

5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32

Therefore, the solution x = 4 is correct.

Connexus Student Connexus Student answered
4 months ago

Can you put that in steps by the way great work

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

Sure! Here are the steps to solve the linear equation 5x + 8 + x = 32 and then checking the answer:

1. Combine like terms:
5x + x + 8 = 32
6x + 8 = 32

2. Isolate the variable x by subtracting 8 from both sides:
6x + 8 - 8 = 32 - 8
6x = 24

3. Solve for x by dividing both sides by 6:
6x / 6 = 24 / 6
x = 4

4. Check the solution by substituting x = 4 back into the original equation:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32

Therefore, the solution x = 4 is correct after solving and checking.

Connexus Student Connexus Student answered
4 months ago

Can you make those steps shorter or with bullets instead but with the answer and info but just shorter

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

- Combine like terms: 5x + x + 8 = 32 -> 6x + 8 = 32

- Subtract 8 from both sides: 6x + 8 - 8 = 32 - 8 -> 6x = 24
- Divide by 6: 6x / 6 = 24 / 6 -> x = 4
- Check: 5(4) + 8 + 4 = 32 -> 20 + 8 + 4 = 32 -> 32 = 32
- Solution: x = 4

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