SOLUTION: can you please help me solve and understand this equation -4(x+10)-6=-3(x-2)

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Question 874220: can you please help me solve and understand this equation -4(x+10)-6=-3(x-2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-4%28x%2B10%29-6=-3%28x-2%29 Start with the given equation.


-4x-40-6=-3x%2B6 Distribute.


-4x-46=-3x%2B6 Combine like terms on the left side.


-4x=-3x%2B6%2B46 Add 46 to both sides.


-4x%2B3x=6%2B46 Add 3x to both sides.


-x=6%2B46 Combine like terms on the left side.


-x=52 Combine like terms on the right side.


x=%2852%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=-52 Reduce.


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Answer:

So the solution is x=-52