Question

Six times a number is 14 less than the opposite of that number. What is the number?

Answer 1

2

Explanation:

6 x 2 = 12

12 is less than 14

Answer 2

Question :

• Six times a number is 14 less than the opposite of that number. What is the number?

Solution :

Let's assume the number as " x "

According to the question :

• Six times a number is 14 less than the opposite of that number.

We already assumed that the number is x. So, opposite of the number would be -x.

`\qquad \sf \: { \dashrightarrow 6x= - x-14}</p><p>`

Now, let's solve this equation :

`\qquad \sf \: { \dashrightarrow 6x + x= -14}</p><p>`

Combining the like terms :

`\qquad \sf \: { \dashrightarrow 7x = - 14}</p><p>`

Then divide both sides by 7 :

`\qquad \sf \: { \dashrightarrow (7x)/(7) = - (14)/(7) }</p><p>`

`\qquad \sf \therefore \: \bf{{ x= -2}}</p><p>`

Therefore, the required number is -2 .