Solve the following linear equation for x

Question

. Then check your answer. Show all your steps for solving and checking.
short it down to one sentence
5x+8+x=32

Answer 1

To solve the equation \(5x + 8 + x = 32\), first combine like terms to get \(6x + 8 = 32\). Then, subtract 8 from both sides:

\[ 6x = 32 - 8 \] \[ 6x = 24 \]

Next, divide both sides by 6:

\[ x = \frac{24}{6} = 4 \]

Check the solution: Substitute \(x = 4\) back into the original equation:

\[ 5(4) + 8 + 4 = 32 \] \[ 20 + 8 + 4 = 32 \] \[ 32 = 32 \quad \text{(True)} \]

Thus, the solution is correct: \(x = 4\).