Solve for $$ c:-3 c+25=-8 c $$

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:** $$c = -5$$ $$ c = -5 $$

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Premium

Home Question Bank Math Algebra

Question

Solve for

Ask by Thornton Alexander. in the United States

Jan 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

To solve the equation

for

, follow these steps:

Start with the original equation:
Add to both sides to get all the -terms on one side:

Simplifying both sides:
Subtract 25 from both sides to isolate the -term:

Simplifying:
Divide both sides by 5 to solve for :

Simplifying:

Solution:

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg

Explain

Simplify this solution

Beyond the Answer

To solve the equation

, let’s first isolate the variable

. Begin by adding

to both sides:

This simplifies to:

Next, subtract

from both sides:

Now, divide both sides by

Voila! The solution to the equation is

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