Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( c = -5 \)
Solution
To solve the equation \(-3c + 25 = -8c\) for \(c\), follow these steps:
1. **Start with the original equation:**
\[
-3c + 25 = -8c
\]
2. **Add \(8c\) to both sides** to get all the \(c\)-terms on one side:
\[
-3c + 8c + 25 = -8c + 8c
\]
Simplifying both sides:
\[
5c + 25 = 0
\]
3. **Subtract 25 from both sides** to isolate the \(c\)-term:
\[
5c + 25 - 25 = 0 - 25
\]
Simplifying:
\[
5c = -25
\]
4. **Divide both sides by 5** to solve for \(c\):
\[
\frac{5c}{5} = \frac{-25}{5}
\]
Simplifying:
\[
c = -5
\]
**Solution:** \(c = -5\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To solve the equation \(-3c + 25 = -8c\), let's first isolate the variable \(c\). Begin by adding \(8c\) to both sides: \[ -3c + 25 + 8c = -8c + 8c \] This simplifies to: \[ 5c + 25 = 0 \] Next, subtract \(25\) from both sides: \[ 5c = -25 \] Now, divide both sides by \(5\): \[ c = -5 \] Voila! The solution to the equation is \(c = -5\).
