SOLUTION: solving multi-step equations with fractions and Decimals: Solve 8-w/10=3/5

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Question 27961: solving multi-step equations with fractions and Decimals:
Solve 8-w/10=3/5

Answer by akmb1215(68) About Me  (Show Source):
You can put this solution on YOUR website!
I can't tell by your question if the 8-w is all over 10 or if just w is over 10, so I'm going to solve it both ways. Just pick out whatever it should be and look at that part, sorry if I confuse you!
**If the equation is %288-w%29%2F10+=+3%2F5, then the first thing you should do is multiply by 10 to get rid of the bottom part of that fraction. Remember that when you are solving equations, your whole goal is to get the letter by itself. So, we are just taking that side apart step by step. So, if you were to multiply by 10 to get rid of the divide by 10, then your equation will look like this: %288-w%29+=+6. The reason it equals 6 is because 3%2F5+x+10+=+6. Now, subtract 8 from both sides to get -w+=+-2. Since -w is the
same thing as -1w, divide by -1 on both sides to get x+=+2.
**If the equation is 8-%28w%2F10%29+=+3%2F5, then you first have to move the 8 to the other side by subtracting it from both sides. This will leave you with -%28w%2F10%29+=+%283%2F5%29-8. To subtract 3/5 and 8, make 8 a fraction (put it over 1) and get a common denominator (5). This will turn into %283%2F5%29-%2840%2F5%29+=+%28-37%2F5%29. Then, you need to get rid of the negative sign on the left side of the equal sign, so divide both sides by -1 to get %28w%2F10%29+=+%2837%2F5%29. Finally, get rid of the divided by 10 part by multiplying by 10 on both sides which gives you w+=+74.