Question

Solve the following linear equation for x . Then check your answer. Show all your steps for solving and checking.5x+8+x=32 make it small and make it look like a 7th grader wrote it

Answer 1

Sure! Let's solve the equation \( 5x + 8 + x = 32 \) step by step.

**Step 1: Combine like terms on the left side.**
We have \( 5x \) and \( x \). We know that \( x \) is the same as \( 1x \), so we can write it as:

\[
5x + 1x + 8 = 32
\]

Now, combine \( 5x \) and \( 1x \):

\[
6x + 8 = 32
\]

**Step 2: Subtract 8 from both sides.**
To isolate the \( 6x \), we need to get rid of the \( 8 \):

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

This simplifies to:

\[
6x = 24
\]

**Step 3: Divide both sides by 6.**
We want to solve for \( x \), so we divide:

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

This gives us:

\[
x = 4
\]

So the solution is \( x = 4 \).

**Step 4: Check your answer.**
Now let's check if \( x = 4 \) works in the original equation:

Substitute \( x \) back into the equation \( 5x + 8 + x = 32 \):

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

Calculating this step by step:

1. \( 5(4) = 20 \)
2. Then add \( 8 \): \( 20 + 8 = 28 \)
3. Finally add \( 4 \): \( 28 + 4 = 32 \)

Since both sides are equal, \( 32 = 32 \), our solution is correct!

So the final answer is:

\[
\boxed{4}
\]