SOLUTION: Hi there! I'm having trouble solving this one, would love some help.. x-(x-4/3) = 2/5-(4x+1/10)

Algebra ->  Equations -> SOLUTION: Hi there! I'm having trouble solving this one, would love some help.. x-(x-4/3) = 2/5-(4x+1/10)       Log On


   

Question 341644: Hi there!
I'm having trouble solving this one, would love some help..

x-(x-4/3) = 2/5-(4x+1/10)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x-%28x-4%2F3%29+=+2%2F5-%284x%2B1%2F10%29 Start with the given equation.


x-x%2B4%2F3+=+2%2F5-4x-1%2F10 Distribute.


30%28x-x%2B4%2Fcross%283%29%29=30%282%2Fcross%285%29-4x-1%2Fcross%2810%29%29 Multiply both sides by the LCD 30 to clear any fractions.


30x-30x%2B40=12-120x-3 Distribute and multiply.


0x%2B40=12-120x-3 Combine like terms on the left side.


0x%2B40=-120x%2B9 Combine like terms on the right side.


0x=-120x%2B9-40 Subtract 40 from both sides.


0x%2B120x=9-40 Add 120x to both sides.


120x=9-40 Combine like terms on the left side.


120x=-31 Combine like terms on the right side.


x=%28-31%29%2F%28120%29 Divide both sides by 120 to isolate x.


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Answer:

So the solution is x=-31%2F120


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim