Question
Solve the following linear equation for x . Then check your answer. Show all your steps for solving and checking. 5x+8+x=32 (4 points)
Write the answer in paragraph form and very shortly
Write the answer in paragraph form and very shortly
Answers
Answer
2-3 sentences
Answered by
GPT-4o mini
To solve the equation \(5x + 8 + x = 32\), we first combine the like terms on the left side. Adding \(5x\) and \(x\) gives us \(6x\), so the equation simplifies to \(6x + 8 = 32\). Next, we isolate \(6x\) by subtracting \(8\) from both sides: \(6x = 32 - 8\), which simplifies to \(6x = 24\). Now, we divide both sides by \(6\) to solve for \(x\): \(x = \frac{24}{6} = 4\).
To check our answer, we substitute \(x = 4\) back into the original equation: \(5(4) + 8 + 4\). This simplifies to \(20 + 8 + 4 = 32\), confirming that our solution is correct since \(32\) equals \(32\). Therefore, the solution to the equation is \(x = 4\).
To check our answer, we substitute \(x = 4\) back into the original equation: \(5(4) + 8 + 4\). This simplifies to \(20 + 8 + 4 = 32\), confirming that our solution is correct since \(32\) equals \(32\). Therefore, the solution to the equation is \(x = 4\).
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