SOLUTION: I have to solve the problem 3/4(x-2)-2/5(2x-3)=1/5, can someone please help me solve this. Thanks

Algebra ->  Linear-equations -> SOLUTION: I have to solve the problem 3/4(x-2)-2/5(2x-3)=1/5, can someone please help me solve this. Thanks      Log On


   

Question 107409: I have to solve the problem 3/4(x-2)-2/5(2x-3)=1/5, can someone please help me solve this.
Thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283%2F4%29%28x-2%29-%282%2F5%29%282x-3%29=1%2F5 Start with the given equation



%2820%29%28%283%2F4%29%28x-2%29-%282%2F5%29%282x-3%29%29=%2820%29%281%2F5%29 Multiply both sides by the LCM of 20. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



15%28x-2%29-8%282x-3%29=4 Distribute and multiply the LCM to each side



15x-30-16x%2B24=4 Distribute


-x-6=4 Combine like terms on the left side


-x=4%2B6Add 6 to both sides


-x=10 Combine like terms on the right side


x=%2810%29%2F%28-1%29 Divide both sides by -1 to isolate x



x=-10 Divide

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Answer:
So our answer is x=-10