Question
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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: \[ \frac{-2}{1} \]

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