Question

Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number.

Answer 1

`(2)/(3) x` - 11 = x + 4
(Add 11 on both sides)

`(2)/(3) x` + 11 + 11

`(2)/(3) x` = x + 15
(Subtract x from both sides)

`(2)/(3) x` - x = x + 15 - x

`(1)/(3)x` = 15
(Multiply both sides by -3)

`(1)/(3)(-3)` = 15(-3)
x = -45