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The algebraic expression that represents the statement Eight subtracted from the quotient of twice a number and three is 2x/3 - 8

How to determine the value of the number?

The mathematical statement is given as:

Eight subtracted from the quotient of twice a number and three.

Let the number be x.

So, the above mathematical statement can be rewritten as:

Eight subtracted from the quotient of twice of x and three.

Twice of x is represented as 2x

Eight subtracted from the quotient of 2x and three.

Quotient means division.

So, we have:

Eight subtracted from the quotient of 2x/three.

three means 3 and eight means 8.

So, we have:

8 subtracted from the quotient of 2x/3

Lastly, the statement becomes

2x/3 - 8

Hence, the algebraic expression that represents the statement Eight subtracted from the quotient of twice a number and three is 2x/3 - 8

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