SOLUTION: Hi, I am stuck on how to solve these 2 problems, can you please help. -3(x+5)+3=12 and 2/3x+1/6x=2

Algebra ->  Linear-equations -> SOLUTION: Hi, I am stuck on how to solve these 2 problems, can you please help. -3(x+5)+3=12 and 2/3x+1/6x=2      Log On


   

Question 149930This question is from textbook
: Hi, I am stuck on how to solve these 2 problems, can you please help. -3(x+5)+3=12 and 2/3x+1/6x=2 This question is from textbook

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


-3%28x%2B5%29%2B3=12 Start with the given equation.


-3x-15%2B3=12 Distribute.


-3x-12=12 Combine like terms on the left side.


-3x=12%2B12 Add 12 to both sides.


-3x=24 Combine like terms on the right side.


x=%2824%29%2F%28-3%29 Divide both sides by -3 to isolate x.


x=-8 Reduce.


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Answer:

So the answer is x=-8





# 2


%282%2F3%29x%2B%281%2F6%29x=2 Start with the given equation.


6%28%282%2Fcross%283%29%29x%2B%281%2Fcross%286%29%29x%29=6%282%29 Multiply both sides by the LCD 6 to clear any fractions.


4x%2Bx=12 Distribute and multiply.


5x=12 Combine like terms on the left side.


x=%2812%29%2F%285%29 Divide both sides by 5 to isolate x.


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Answer:

So the answer is x=12%2F5