Solve the following linear equation for x. Then check your answer. Show all your steps for solving and checking. Make sure it is an actual equation that is readable to a normal person.

Question

5x+8+x=32

Answer 1

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

Step 1: Combine like terms.

The equation has two terms with \( x \): \( 5x \) and \( x \). We can combine them:

\[ 5x + x = 6x \]

Now, the equation simplifies to:

\[ 6x + 8 = 32 \]

Step 2: Isolate the variable term.

Next, we want to isolate the term with \( x \). 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, divide both sides of the equation by 6:

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

This simplifies to:

\[ x = 4 \]

Step 4: Check the solution.

Now, we will verify our solution by substituting \( x = 4 \) back into the original equation:

The original equation is:

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

Substituting \( x = 4 \):

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

Calculate the left-hand side:

\[ 20 + 8 + 4 = 32 \]

Now we add:

\[ 20 + 8 = 28 \] \[ 28 + 4 = 32 \]

Since both sides of the equation are equal (32 = 32), our solution is confirmed.

Final Answer:

\[ x = 4 \]

Answer 2

So put it into one equation

Answer 3

Certainly! The original equation can be solved step by step, but if you want the entire solution condensed into one equation form, we can frame it like this:

Starting from the original equation:

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

Combine like terms:

\[ 6x + 8 = 32 \]

Isolate the variable:

\[ 6x = 32 - 8 \]

Simplify:

\[ 6x = 24 \]

Now, divide both sides by 6:

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

Finally, simplify to get the answer:

\[ x = 4 \]

As one complete equation form, it can be represented as:

\[ x = \frac{32 - 8}{6} = 4 \]