Question

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

Answer 1

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.