Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = -17 \)
Solution
To solve the equation:
\[
\frac{-5 + x}{22} = -1
\]
**Step 1:** Eliminate the denominator by multiplying both sides of the equation by 22.
\[
-5 + x = -1 \times 22
\]
\[
-5 + x = -22
\]
**Step 2:** Isolate \( x \) by adding 5 to both sides of the equation.
\[
x = -22 + 5
\]
\[
x = -17
\]
**Solution:** \( x = -17 \)
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Simplify this solution Beyond the Answer
To solve the equation \( \frac{-5+x}{22}=-1 \), start by multiplying both sides by 22 to eliminate the fraction. This gives you: \(-5 + x = -22\). Next, isolate \(x\) by adding 5 to both sides: \(x = -22 + 5\), which simplifies to: \(x = -17\). So, the solution is \(x = -17\)! Now go grab a calculator and double-check your work—maybe treat yourself to a snack afterward! Looking at equations like these may seem basic, but they’re the building blocks of algebra that lead to more complex problem-solving. Think of it as your math superhero origin story; you’re starting to gather the skills you need for greater challenges ahead, like quadratic equations or functions!
