Question

Solve for c. 5c - 16.5=13.5 - 10c

Answer 1

To solve the equation 5c - 16.5 = 13.5 - 10c for c, move all terms containing c to one side and constants to the other, combine like terms, and divide by the coefficient of c to find that c = 2.

Step-by-step explanation:

To solve for c in the equation 5c - 16.5 = 13.5 - 10c, we need to gather all the c terms on one side and the constants on the other side. Here's how you can do it step by step:

1. Add 10c to both sides of the equation: 5c + 10c - 16.5 = 13.5.
2. Simplify each side: 15c - 16.5 = 13.5.
3. Add 16.5 to both sides to isolate the term with c: 15c = 13.5 + 16.5.
4. Combine the constants: 15c = 30.0.
5. Divide by 15 to solve for c: c = 30.0 / 15.
6. Calculate to find c: c = 2.

The solution is c = 2.