Find the value of c in the equation, 2 (x - 3) + 5x = 5 (2x + 6).

a. - 2

b. 2

c. 12 D - 12

2x - 6 + 5x = 10x + 30

(Distributive Property)

7x - 6 = 10x + 30

(Subtract 7x and 30 from both sides)

10x - 7x

-6 - 30

-36 = 3x

(divide by 3 to both sides

x = - 12

If you would like to solve the equation 2 * (x - 3) + 5 * x = 5 * (2 * x + 6), you can calculate this using the following steps:

2 * (x - 3) + 5 * x = 5 * (2 * x + 6)

2 * x - 2 * 3 + 5 * x = 5 * 2 * x + 5 * 6

2 * x + 5 * x - 5 * 2 * x = 5 * 6 + 2 * 3

7 * x - 10 * x = 30 + 6

- 3 * x = 36 / (-3)

x = 36 / (-3)

x = - 12

The correct result would be d. - 12.