SOLUTION: a number divided by 3 plus 6 is equal to the same number minus 2

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Question 86916: a number divided by 3 plus 6 is equal to the same number minus 2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=our unknown number

So we get the equation:

x%2F3%2B6=x-2 This is the translation of "a number divided by 3 plus 6 is equal to the same number minus 2"

x%2F3=x-2-6 Subtract 6 from both sides

x%2F3-x=-2-6 Subtract x from both sides

x%2F3-3x%2F3=-2-6 Convert x to 3x%2F3

-2x%2F3=-8 Combine like terms

-2x=-8%2A3 Multiply both sides by 3

-2x=-24

x=-24%2F-2 Divide both sides by -2

So our answer is

x=12

Check:
12%2F3%2B6=12-2 plug in x=12

4%2B6=12-2

10=10 works