Question

X. \( 11 x-8=63 \)

Ask by Chadwick Fuentes. in the United States
Feb 18,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\( x = \frac{71}{11} \) or \( x = 6.4545 \).

Solution

Solve the equation \( 11x-8=63 \). Solve the equation by following steps: - step0: Solve for \(x\): \(11x-8=63\) - step1: Move the constant to the right side: \(11x=63+8\) - step2: Add the numbers: \(11x=71\) - step3: Divide both sides: \(\frac{11x}{11}=\frac{71}{11}\) - step4: Divide the numbers: \(x=\frac{71}{11}\) The solution to the equation \(11x - 8 = 63\) is \(x = \frac{71}{11}\) or \(x = 6.4545\).

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Beyond the Answer

To solve the equation \( 11x - 8 = 63 \), start by adding 8 to both sides to isolate the term with \( x \). This gives you \( 11x = 71 \). Next, divide both sides by 11 to find \( x \). The solution is \( x = \frac{71}{11} \), which simplifies to approximately 6.45. So, not only does math help us find the value of \( x \), but it also boosts our problem-solving skills! If you ever find yourself confused in a similar equation, remember to carefully check each step, especially with basic operations like addition and multiplication. A common mistake is miscalculating when combining terms or moving them across the equation. Double-checking your work can save you from these small errors and lead you to the right answer!

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