Question

Solve for the given variable. Record your work and check the solution, if possible.

Answer 1

Final Answer: $c = 10$

Steps/Reasons/Explanation:

Question: Solve for the given variable: $75c - 300 = 25c + 200$.

Step 1: Add $300$ to both sides.

$75c = 25c + 200 + 300$

Step 2: Simplify $25c + 200 + 300$ to $25c + 500$.

$75c = 25c + 500$

Step 3: Subtract $25c$ from both sides.

$75c - 25c = 500$

Step 4: Simplify $75c - 25c$ to $50c$.

$50c = 500$

Step 5: Divide both sides by $50$.

$c = \frac{500}{50}$

Step 6: Simplify $\frac{500}{50}$ to $10$.

$c = 10$

~I hope I helped you! :)~

Answer 2

Answer:

10

Step-by-step explanation:

75c-300=25c+200

-25c         -25c

50c-300=200

+300         +300

50c=500

c=10