SOLUTION: PLease help me to solve this equation: -2[4-(3b+2)]=5-2(3b+6)

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Question 222552: PLease help me to solve this equation: -2[4-(3b+2)]=5-2(3b+6)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-2%284-%283b%2B2%29%29=5-2%283b%2B6%29 Start with the given equation.


-8%2B2%283b%2B2%29=5-2%283b%2B6%29 Distribute.


-8%2B6b%2B4=5-6b-12 Distribute again.


6b-4=5-6b-12 Combine like terms on the left side.


6b-4=-6b-7 Combine like terms on the right side.


6b=-6b-7%2B4 Add 4 to both sides.


6b%2B6b=-7%2B4 Add 6b to both sides.


12b=-7%2B4 Combine like terms on the left side.


12b=-3 Combine like terms on the right side.


b=%28-3%29%2F%2812%29 Divide both sides by 12 to isolate b.


b=-1%2F4 Reduce.


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Answer:

So the solution is b=-1%2F4 which in decimal form is b=-0.25.