Question

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

5x+8+x=32

Answer 1

can you make it smaller

Answer 2

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

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

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

This simplifies to:

\[
6x + 8 = 32
\]

### Step 2: Isolate the term with \( x \)
Next, we want to isolate the \( x \) term. 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: Solve for \( x \)
Now, to find \( x \), divide both sides by 6:

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

This simplifies to:

\[
x = 4
\]

### Step 4: Check the solution
To verify the solution, we can substitute \( x = 4 \) back into the original equation:

The original equation is:

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

Substituting \( x = 4 \):

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

Calculating the left side:

\[
20 + 8 + 4 = 32
\]

Simplifying:

\[
32 = 32
\]

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

### Final Answer
Thus, the solution to the equation \( 5x + 8 + x = 32 \) is:

\[
\boxed{4}
\]

Answer 3

Sure! Here’s a more concise version of the solution:

**Given Equation:**
\[ 5x + 8 + x = 32 \]

### Step 1: Combine like terms
\[ 6x + 8 = 32 \]

### Step 2: Isolate \( x \)
Subtract 8 from both sides:
\[ 6x = 24 \]

### Step 3: Solve for \( x \)
Divide by 6:
\[ x = 4 \]

### Step 4: Check the solution
Substitute \( x = 4 \) back into the original equation:
\[ 5(4) + 8 + 4 = 32 \]
\[ 20 + 8 + 4 = 32 \]
\[ 32 = 32 \] (True)

### Final Answer
\[ \boxed{4} \]