What is the value of C in the equation 2C + 5 (c - 5) = 10?

2C + 5 (c - 5) = 10

2C + 5C - 25 = 10

7C = 35

C = 5

We get the variable c on one side of the equation and everything on the other side of c.

2c + 5 (c - 5) = 10; Start

2c + 5c - 25 = 10; Distribute the 5 across c and - 5

7c - 25 = 10; Combine the like terms 2c and 5c

7c = 35; Add 25 to each side of the equation

c = 5; Divide both sides by the coefficient of c. Which is 7