SOLUTION: 2(2x+1)-3x=5(3x-2)+4x show all work

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Question 663168: 2(2x+1)-3x=5(3x-2)+4x show all work
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%282x%2B1%29-3x=5%283x-2%29%2B4x Start with the given equation.


4x%2B2-3x=15x-10%2B4x Distribute.


x%2B2=15x-10%2B4x Combine like terms on the left side.


x%2B2=19x-10 Combine like terms on the right side.


x=19x-10-2 Subtract 2 from both sides.


x-19x=-10-2 Subtract 19x from both sides.


-18x=-10-2 Combine like terms on the left side.


-18x=-12 Combine like terms on the right side.


x=%28-12%29%2F%28-18%29 Divide both sides by -18 to isolate x.


x=2%2F3 Reduce.


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Answer:

So the solution is x=2%2F3