SOLUTION: Solve and check. Begin by rewriting without the fractions. x-3/5-1=x-5/4. Again I have no idea how to remove the fractions x-3 over 5 and x-5 over 4. Then once it is solved how

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Solve and check. Begin by rewriting without the fractions. x-3/5-1=x-5/4. Again I have no idea how to remove the fractions x-3 over 5 and x-5 over 4. Then once it is solved how      Log On


   

Question 177239This question is from textbook
: Solve and check. Begin by rewriting without the fractions.
x-3/5-1=x-5/4. Again I have no idea how to remove the fractions x-3 over 5 and x-5 over 4. Then once it is solved how do I check it?
This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-3%29%2F5-1=%28x-5%29%2F4 Start with the given equation.


20%28%28x-3%29%2Fcross%285%29%29-1%2820%29=20%28%28x-5%29%2Fcross%284%29%29 Multiply EVERY term by the LCD 20 to clear the fractions.


4%28x-3%29-20=5%28x-5%29 Multiply and simplify.


4x-12-20=5x-25 Distribute.


4x-32=5x-25 Combine like terms on the left side.


4x=5x-25%2B32 Add 32 to both sides.


4x-5x=-25%2B32 Subtract 5x from both sides.


-x=-25%2B32 Combine like terms on the left side.


-x=7 Combine like terms on the right side.


x=%287%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=-7 Reduce.


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Answer:

So the answer is x=-7