Question

Solve the following linear equation x. Then check your answer. Show all steps for solving and checking(only the relevant info). 5x+8+x=32

Answer 1

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

### Step 1: Combine like terms
Combine the \( x \) terms on the left side of the equation:

\[
5x + x = 6x
\]

So, the equation becomes:

\[
6x + 8 = 32
\]

### Step 2: Isolate the variable term
Subtract 8 from both sides 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 gives us:

\[
x = 4
\]

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

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

Substituting \( x = 4 \):

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

Calculating the left side:

\[
20 + 8 + 4 = 32
\]

Combine the numbers:

\[
32 = 32
\]

Since both sides are equal, the solution \( x = 4 \) is correct.

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