Question
X. \( 11 x-8=63 \)
Ask by Schneider Parsons. 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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Simplify this solution Beyond the Answer
To solve the equation \( 11x - 8 = 63 \), start by isolating \( 11x \). Add 8 to both sides: \( 11x = 71 \). Next, divide both sides by 11 to find \( x \): \( x = \frac{71}{11} \), which simplifies approximately to \( x \approx 6.45 \). Easy as pie, right? In real life, these kinds of equations pop up all the time! Whether you're calculating budget allowances, speeding fines, or even planning meals with friends—all involve some form of algebra. The skills you practice here can help make those decisions smoother than a perfectly sorted playlist!
