SOLUTION: Write an equation to represent the verbal statement then solve the problem. 1. Two-Thirds of a number reduced by 11 is equal to 7 more than the same number. Find the number.

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Question 1114595: Write an equation to represent the verbal statement then solve the problem.
1. Two-Thirds of a number reduced by 11 is equal to 7 more than the same number. Find the number.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
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.