Question
Solve for \( x \). \[ 5=\frac{x+37}{7} \] Simplify. your answer as much as possible. \begin{tabular}{|l|l}\hline\( \frac{\square}{\square} \) \\ \hline\end{tabular}
Ask by Guzman Black. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = -2 \)
Solution
To solve for \( x \) in the equation:
\[
5 = \frac{x + 37}{7}
\]
**Step 1:** Multiply both sides by 7 to eliminate the fraction:
\[
5 \times 7 = x + 37
\]
\[
35 = x + 37
\]
**Step 2:** Subtract 37 from both sides to isolate \( x \):
\[
35 - 37 = x
\]
\[
x = -2
\]
Expressed as a fraction, the solution is:
\[
\frac{-2}{1}
\]
\begin{tabular}{|l|l|}
\hline
\( \frac{-2}{1} \) \\
\hline
\end{tabular}
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Simplify this solution
Mind Expander
To solve for \( x \), start by isolating the fraction on one side: Multiply both sides by 7 to eliminate the denominator: \[ 5 \times 7 = x + 37 \] This simplifies to: \[ 35 = x + 37 \] Next, subtract 37 from both sides to solve for \( x \): \[ 35 - 37 = x \] This gives us: \[ x = -2 \] Thus, the simplified answer is: \[ \frac{-2}{1} \]