Question

Solve the following linear equation for x . Then check your answer. Show all your steps for solving and checking. 5x+8+x=32. Then simplify it and make it able to be copy paste

Answer 1

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

### Step 1: Combine like terms
First, combine the terms with \(x\) on the left side of the equation. The equation can be rewritten as:

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

This simplifies to:

\[
6x + 8 = 32
\]

### Step 2: Isolate the variable term
Next, subtract 8 from both sides of the equation to isolate the term with \(x\):

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

This simplifies to:

\[
6x = 24
\]

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

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

This simplifies to:

\[
x = 4
\]

### Checking the answer
To verify the solution, substitute \(x = 4\) back into the original equation:

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

Substituting \(4\) for \(x\):

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

Calculate the left side:

\[
20 + 8 + 4 = 32
\]

Combine the terms:

\[
32 = 32
\]

Since both sides of the equation are equal, our solution is verified.

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

Here is the simplified version that you can copy and paste:

```plaintext
To solve the equation 5x + 8 + x = 32:

1. Combine like terms: 5x + x + 8 = 32 → 6x + 8 = 32
2. Isolate the variable term: 6x + 8 - 8 = 32 - 8 → 6x = 24
3. Solve for x: x = 24 / 6 → x = 4

Checking the answer:
5(4) + 8 + 4 = 32 → 20 + 8 + 4 = 32 → 32 = 32

Final answer: x = 4
```