Question
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Solve the following equation. \( \begin{array}{l}3-\mathrm{x}=7\end{array} \) \[ \begin{array}{l}\text { Select the correct choice below and, if necessary, fill in the answer box. } \\ \text { (Type an integer or a simplified fraction.) } \\ \text { B. The solution set is }(-\infty, \infty) \text {. There is no solution. } \\ \text { C. The }\end{array} \]

Ask by Graham Colon. in the United States
Jan 27,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The solution is \( x = -4 \).

Solution

Solve the equation \( 3-x=7 \). Solve the equation by following steps: - step0: Solve for \(x\): \(3-x=7\) - step1: Move the constant to the right side: \(-x=7-3\) - step2: Subtract the numbers: \(-x=4\) - step3: Change the signs: \(x=-4\) The solution to the equation \(3-x=7\) is \(x=-4\). Therefore, the correct choice is: C. The solution set is \((-4)\).

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Beyond the Answer

To solve the equation \( 3 - x = 7 \), first, we need to isolate \( x \). Start by subtracting 3 from both sides: \[ -x = 7 - 3 \] This simplifies to: \[ -x = 4 \] Now, multiply both sides by -1 to solve for \( x \): \[ x = -4 \] So the solution to the equation is \( x = -4 \). Now, when it comes to the options you provided, it seems you've only included parts of them. However, based on the calculation, the correct answer is \( x = -4 \). Remember, equations like this are linear and typically yield a single solution unless they're contradictory. Keep practicing and you'll get even better! For a little extra flair: Did you know that equations are like treasure maps? The more you refine your skills, the better you'll navigate through the math seas to find those hidden x's! And guess what? It's fun to share this knowledge! If you ever dive deeper into algebra, there are whole online communities just buzzing with puzzles and solutions waiting for you to explore!

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