SOLUTION: Solve each of the following equations for x. {{{12-(x+3)=3}}}

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Question 125829: Solve each of the following equations for x.

12-%28x%2B3%29=3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
12-%28x%2B3%29=3 Start with the given equation



12-x-3=3 Distribute the negative


-x%2B9=3 Combine like terms on the left side


-x=3-9Subtract 9 from both sides


-x=-6 Combine like terms on the right side


x=%28-6%29%2F%28-1%29 Divide both sides by -1 to isolate x



x=6 Divide

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Answer:
So our answer is x=6



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Check:


You can check this answer by plugging it back into the original equation


12-%28x%2B3%29=3 Start with the given equation


12-%286%2B3%29=3 Plug in x=6


12-9=3 Add 6 and 3 to get 9


3=3 Subtract 9 from 12 to get 3. Since the two sides of the equation are equal, this verifies our answer.