Question

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

a. –2
b. 2
c. 12 D –12

Answer 1

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.

Answer 2

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