Question

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

5x+8+x=32
very short
for a 6th grader

Answer 1

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

### Step 1: Combine like terms
First, combine the terms with \( x \) on the left side of the equation.
- \( 5x + x = 6x \)

So, the equation now looks like this:
\[ 6x + 8 = 32 \]

### Step 2: Isolate the variable term
Next, we want to get \( 6x \) by itself. To do that, subtract \( 8 \) from both sides of the equation:
\[ 6x + 8 - 8 = 32 - 8 \]
\[ 6x = 24 \]

### Step 3: Solve for \( x \)
Now, divide both sides by \( 6 \) to solve for \( x \):
\[ x = \frac{24}{6} \]
\[ x = 4 \]

### Step 4: Check your answer
To check if \( x = 4 \) is correct, substitute \( 4 \) back into the original equation:
\[ 5(4) + 8 + 4 = 32 \]
Calculating the left side:
\[ 20 + 8 + 4 = 32 \]
\[ 28 + 4 = 32 \]
\[ 32 = 32 \]

Since both sides are equal, the solution is correct.

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