Question 1114595
x = the number.


Two-Thirds of a number reduced by 11 is equal to 7 more than the same number.


this could lead to the following equation, if i understand it correctly.


2/3 * x - 11 = x + 7


subtract x from both sides of this equation and add 11 to both sides of this equation to get:


2/3 * x - x = 18


combine like terms to get:


-1/3 * x = 18


multiply both sides of this equation by -3 to get:


x = -54.


when x = -54:


2/3 * x - 11 = x + 7 becomes 2/3 * -54 - 11 = -43 + 7 which becomes -36 - 11 = -47 which becomes -47 = -47.


the solution is confirmed as good.


the solution is that x = -54.