SOLUTION: what is the final value of x when x subtract 6, multiply this by 6, add 6, then multiply by 1/6

Question 1021023: what is the final value of x when
x subtract 6, multiply this by 6, add 6, then multiply by 1/6
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
x subtract 6, multiply this by 6, add 6, then multiply by 1/6.

x subtract 6 means x - 6.

multiply that by 6 means 6 * (x-6).

add 6 to that means 6 * (x-6) + 6.

then multiply by 1/6 means (6 * (x-6) + 6) * 1/6.

you would first resolve the most inner set of parentheses to get:

(6x - 6*6 + 6) * 1/6.

simplify to get:

(6x - 36 + 6) * 1/6.

combine like terms to get:

(6x - 30) * 1/6.

resolve the remaining set of parentheses to get:

x - 5.

you can confirm by assuming x is equal to any number you guess at random.

i guessed 100.

your final expression tells you that, when x = 100, x = 100 - 5 = 95.

your original expression tells you that, when x = 100, x subtract 6, multiply this by 6, add 6, then multiply by 1/6 becomes 100 subtract 6, multiply this by 6, add 6, then multiply by 1/6.

100 subtract 6 becomes 94.
multiply that by 6 becomes 564.
add 6 to that becomes 570.
multiply that by 1/6 becomes 95.

it works.

your original expression is x subtract 6, multiply this by 6, add 6, then multiply by 1/6.

your final expression is x - 5.

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