Pregunta
Formula 1 point Solve for x : \( -7=-12+\frac{x}{8} \) Type your answer... \begin{tabular}{l} Folve for \( \mathrm{x}: \) \\ \( \frac{x}{57}-5=-22 \) \\ Type your answer... \\ \hline\end{tabular}
Ask by Nichols Long. in the United States
Jan 23,2025
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**Problem 1:**
Solve for \( x \):
\[ -7 = -12 + \frac{x}{8} \]
Answer: \( x = 40 \)
**Problem 2:**
Solve for \( x \):
\[ \frac{x}{57} - 5 = -22 \]
Answer: \( x = -969 \)
Solución
**Problem 1:**
Solve for \( x \):
\[ -7 = -12 + \frac{x}{8} \]
**Solution:**
\[
\begin{align*}
-7 &= -12 + \frac{x}{8} \\
-7 + 12 &= \frac{x}{8} \\
5 &= \frac{x}{8} \\
x &= 5 \times 8 \\
x &= 40
\end{align*}
\]
**Answer:** \( x = 40 \)
---
**Problem 2:**
Solve for \( x \):
\[ \frac{x}{57} - 5 = -22 \]
**Solution:**
\[
\begin{align*}
\frac{x}{57} - 5 &= -22 \\
\frac{x}{57} &= -22 + 5 \\
\frac{x}{57} &= -17 \\
x &= -17 \times 57 \\
x &= -969
\end{align*}
\]
**Answer:** \( x = -969 \)
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Beyond the Answer
To solve for \( x \) in the equation \( -7=-12+\frac{x}{8} \), first add 12 to both sides: \[ -7 + 12 = \frac{x}{8} \] This simplifies to \( 5 = \frac{x}{8} \). Now, multiply both sides by 8 to isolate \( x \): \[ x = 5 \times 8 = 40 \]. Next, let's tackle the equation \( \frac{x}{57}-5=-22 \). Start by adding 5 to both sides: \[ \frac{x}{57} = -22 + 5 \], which simplifies to \( \frac{x}{57} = -17 \). To find \( x \), multiply both sides by 57: \[ x = -17 \times 57 = -969 \]. So the solutions for \( x \) are \( 40 \) and \( -969 \).
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