SOLUTION: 10 - 4x + 9 = 3x - 14 + 5(2x - 3)

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Question 678793: 10 - 4x + 9 = 3x - 14 + 5(2x - 3)
Found 2 solutions by jim_thompson5910, ReadingBoosters:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
10-4x%2B9=3x-14%2B5%282x-3%29 Start with the given equation.


10-4x%2B9=3x-14%2B10x-15 Distribute.


-4x%2B19=3x-14%2B10x-15 Combine like terms on the left side.


-4x%2B19=13x-29 Combine like terms on the right side.


-4x=13x-29-19 Subtract 19 from both sides.


-4x-13x=-29-19 Subtract 13x from both sides.


-17x=-29-19 Combine like terms on the left side.


-17x=-48 Combine like terms on the right side.


x=%28-48%29%2F%28-17%29 Divide both sides by -17 to isolate x.


x=48%2F17 Reduce.


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Answer:

So the solution is x=48%2F17

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Distribute the 5
10 - 4x + 9 = 3x - 14 + 10x - 15
...
Group x variables on the left
-4x - 3x - 10x = -14 - 15 - 9 - 10
...
Combine like terms
-17x = -48
...
Divide both sides by -17
highlight_green%28x+=+48%2F17%29
.....................
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