In: Math
The sum of four times a number and 6 is equal to the difference of twice the number and 10 . Find the number.
Let the number be x.
Four times the number = 4x.
Twice of number = 2x.
So, sum of four times a number and
= 4x+6.
And difference of twice the number and 10
= 2x-10.
According to the given information we get
4x+6 = 2x-10
4x-2x = -10-6
2x = -16
x = -8
The number is -8.