SOLUTION: –3(x + 1) = 2(x – 8) + 3

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Question 86322: –3(x + 1) = 2(x – 8) + 3
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
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Question:


–3(x + 1) = 2(x – 8) + 3

Answer:


–3(x + 1) = 2(x – 8) + 3


Remove the parenthesis by multiplying....


-3 * x - 3 * 1 = 2 * x - 2 * 8 + 3


==> -3x - 3 = 2x - 16 + 3


Collect the like terms....


-3x - 3 = 2x - 13


Add 3x on both sides....


==> -3x + 3x - 3 = 2x - 13 + 3x


==> 0 - 3 = 5x - 13


Add 13 on both sides.....

==> -3 + 13 = 5x - 13 + 13


==> 10 = 5x


Divide both sides by 5



==> +10%2F5+=+5x%2F5


==> 2 = x



That is x = 2 is the solution of the given equation.....


To check the answer, you can substitute the value x = 2 in the given expression....then you will get the same value on either side of the equal sign..( here either side you will get the value -9)


Hope you found the explanation useful


Regards.


Praseena