Question 1204281: Eleven diminished by 5 times a
number is the same as 4 times the number increased by 20. Find the number. Found 2 solutions by mananth, ikleyn:Answer by mananth(16946) (Show Source):
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Let the number be "x."
11 - 5x = 4x + 20
First, let's get all the terms involving x on one side of the equation. Add 5x to both sides:
11 - 5x + 5x = 4x + 5x + 20
we get
11 = 9x + 20
subtract 20 from both sides:
11 - 20 = 9x + 20 - 20
we get
-9 = 9x
Finally, divide both sides by 9 to solve for x:
-9 / 9 = 9x / 9
x = -1
The number is -1.