SOLUTION: (((9(x+2)-3(x+3)=2(x-1)+7 what is x equal to?))) 1. (((4x+6/9-2x-6/9=12x+8/12 -x what is x equal to?))) 2.

Algebra ->  Equations -> SOLUTION: (((9(x+2)-3(x+3)=2(x-1)+7 what is x equal to?))) 1. (((4x+6/9-2x-6/9=12x+8/12 -x what is x equal to?))) 2.      Log On


   

Question 186904This question is from textbook
: (((9(x+2)-3(x+3)=2(x-1)+7 what is x equal to?))) 1.
(((4x+6/9-2x-6/9=12x+8/12 -x what is x equal to?))) 2. This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1


9%28x%2B2%29-3%28x%2B3%29=2%28x-1%29%2B7 Start with the given equation.


9x%2B18-3x-9=2x-2%2B7 Distribute.


6x%2B9=2x-2%2B7 Combine like terms on the left side.


6x%2B9=2x%2B5 Combine like terms on the right side.


6x=2x%2B5-9 Subtract 9 from both sides.


6x-2x=5-9 Subtract 2x from both sides.


4x=5-9 Combine like terms on the left side.


4x=-4 Combine like terms on the right side.


x=%28-4%29%2F%284%29 Divide both sides by 4 to isolate x.


x=-1 Reduce.


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Answer:

So the answer is x=-1




# 2

%284x%2B6%29%2F9-%282x-6%29%2F9=%2812x%2B8%29%2F12+-x Start with the given equation.


4%284x%2B6%29-4%282x-6%29=3%2812x%2B8%29+-36x Multiply EVERY term by the LCD 36 to clear the fractions.


16x%2B24-8x%2B24=36x%2B24-36x Distribute.


8x%2B48=36x%2B24-36x Combine like terms on the left side.


8x%2B48=0x%2B24 Combine like terms on the right side.


8x=0x%2B24-48 Subtract 48 from both sides.


8x-0x=24-48 Subtract 0x from both sides.


8x=24-48 Combine like terms on the left side.


8x=-24 Combine like terms on the right side.


x=%28-24%29%2F%288%29 Divide both sides by 8 to isolate x.


x=-3 Reduce.


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Answer:

So the answer is x=-3