SOLUTION: −52 times the difference between a number and 97 is equal to the number plus 39.

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Question 1027298: −52 times the difference between a number and 97 is equal to the number plus 39.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
let x equal the number.

your equation becomes -52 * (x-97) = x + 39

simplify to get -52 * x + 5044 = x + 39

add 52 * x to both sides of this equation and subtract 39 from both sides of this equation to get:

5044 - 39 = x + 52 * x

simplify to get 5005 = 53 * x

divide both sides of this equation by 53 to get:

x = 5005 / 53 = 94.43396226

confirm by replacing x in the original equation of -52 * (x - 97) = x + 39.

you will see that the equation is true, which confirms that the solution is good.