SOLUTION: [2x-5]=[9x+7] Please help

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Question 136140: [2x-5]=[9x+7] Please help
Found 2 solutions by vleith, solver91311:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
For problems in one variable, you need to isolate the variable on one side of the equation.
Given: 2x-5=9x%2B7
First collect the terms containing the variable on one side and the constant terms on the other side. To do this, subtract 2x from both sides and then subtract (-7) from both sides. Think of the equal sign as a 'balance' point. Whatever you do to one side, you have to do to the other in order to remain in balance.
-5+-7+=9x-2x
-12+=+7x
Now isolate the variable, by dividing both sides by 7
-12%2F7+=+x+
Now check your answer by substituting -12%2F7 for x in the original equation.
Does %282+%2A+%28-12%2F7%29+-+5%29+=+%289+%2A+%28-12%2F7%29+%2B+7%29+
%28-24%2F7%29+-+5+=+%28-108%2F7%29+%2B+7
-24+-+35+=+-108+%2B+49+ Check!

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
2x-5=9x%2B7 or 2x-5=-%289x%2B7%29

(Actually, if you have |a|=|b|, then
a = b, or
-a = b, or
a = -b, or
-a = - b
But the first and fourth situations are equivalent, and the second and third situations are equivalent, so you really only have two different situations.)

-9x%2B2x=5%2B7 or 9x%2B2x=5-7

-7x=12 or 11x=-2

x=-12%2F7 or x=-2%2F11

You should check these answers by substituting them into the original equation to see if doing so results in true statements.