The product of twice a number and six is the same as the difference of eleven times the number and 1/4 fine the number

x = - 1/4

Step-by-step explanation:

suppose,

The number is x

now,

twice a number = 2. x = 2x

The product of twice a number and six = 2x. 6 = 12x

[ "product" means the result of multiplication]

Then,

Eleven times the number = 11. x = 11x

The difference of eleven times the number and 1/4 = 11x - 1/4

= (44x-1) / 4

Hence,

12x = (44x-1) / 4

=>48x = 44x-1 [multiplied by 4 on both sides]

=>48x-44x=-1 [subtract 44x on both sides]

=>4x=-1 [divide both sides by 4]

=>x = - 1/4