Answered

The sum of one-half of a number and eight equals twice the difference of the number and one. Find the number. (i assume "number" is x btw)



Answer :

The value of x in the expression is 20/3

How to evaluate the expression?

The statement is given as:

The sum of one-half of a number and eight equals twice the difference of the number and one

This can be represented as:

1/2x + 8 = 2(x - 1)

Multiply through by 2

x + 16 = 4(x - 1)

Expand

x + 16 = 4x - 4

Evaluate the like terms

-3x = -20

This gives

x = 20/3

Hence, the value of x in the expression is 20/3

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