510,461 views
18 votes
18 votes
What is the solution to the equation below? 5c+4=2

(c-5)

explain how you got your answer

User Surgiie
by
3.1k points

1 Answer

15 votes
15 votes

Answer: c = -14 over 3 (c = -14/3)

Step-by-step explanation:

1. Distribute: 5c + 4 = 2(c - 5) --> 5c + 4 = 2c - 10

2. Subtract 4 From Both Sides: 5c + 4 = 2c - 10 --> 5c + 4 - 4 = 2c - 10 - 4

3. Simplify: 5c = 2c - 14

4. Subtract 2c From both sides: 5c = 2c - 14 --> 5c - 2c = 2c - 14 - 2c

5. Simplify: 3c = 14

6. Divide Both Sides By The Same Factor: 3c divided by 3 = -14 divided by 3

7. Simplify: c = -14 over 3

User David Mann
by
3.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.