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

O A.-12

O B. 12

OC.-2

OD. 2

Option A

Answer:

The value of x in the equation 2 (x - 3) + 5x = 5 (2x + 6) is - 12

Solution:

From question given that

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

Open the brackets,

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

Rewrite the above equation,

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

On simplifying the above equation, we get

7x - 6 = 10x + 30

Now adding 6 on both sides,

7x - 6 + 6 = 10x + 30 + 6

7x = 10x + 36

On subtracting 10x on both sides,

7x - 10x = 10x + 36 - 10x

-3x = 36

On dividing - 3 on both sides,

x = - 12

Hence on simplifying 2 (x - 3) + 5x = 5 (2x + 6) we get value of x is - 12. Hence Option (A) is correct.