Question
Solve the following linear equation for x
. Then check your answer. Show all your steps for solving and checking.
short it down to one sentence
5x+8+x=32
. Then check your answer. Show all your steps for solving and checking.
short it down to one sentence
5x+8+x=32
Answers
GPT-4o mini
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: **\(x = 4\)**.
\[
6x = 32 - 8
\]
\[
6x = 24
\]
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: **\(x = 4\)**.