Question
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Answer
\( n=4 \)
Solution
Solve the equation \( 4n-1=6n+8-8n+15 \).
Solve the equation by following steps:
- step0: Solve for \(n\):
\(4n-1=6n+8-8n+15\)
- step1: Calculate:
\(4n-1=-2n+23\)
- step2: Move the expression to the left side:
\(4n+2n=23+1\)
- step3: Add and subtract:
\(6n=23+1\)
- step4: Add and subtract:
\(6n=24\)
- step5: Divide both sides:
\(\frac{6n}{6}=\frac{24}{6}\)
- step6: Divide the numbers:
\(n=4\)
The solution to the equation \(4n-1=6n+8-8n+15\) is \(n=4\).
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Simplify this solution Mind Expander
Let's rearrange the equation step by step! Starting with the original equation \( 4n - 1 = 6n + 8 - 8n + 15 \), we can simplify the right side. Combine like terms: \( 6n - 8n + 8 + 15 = -2n + 23 \). So, we have \( 4n - 1 = -2n + 23 \). Now, let's get all \( n \) terms on one side and constant terms on the other. Adding \( 2n \) to both sides gives us \( 4n + 2n - 1 = 23 \), which simplifies to \( 6n - 1 = 23 \). Adding 1 to both sides results in \( 6n = 24 \). Finally, dividing by 6 gives \( n = 4 \). Voilà! The solution is \( n = 4 \).
