SOLUTION: 8.5x +8 =1.3x +15

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Question 687648: 8.5x +8 =1.3x +15
Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
The easiest way to solve for x in this case, is to first get rid of the decimals. To do this, multiply the entire equation by 10. Doing so will leave you with:

85x + 80 = 13x + 150

Now, we want to get all like terms on the same side of the equal sign. To do this, subtract 80 from both sides of the equal sign:

85x + 80 - 80 = 13x + 150 - 80 =

85x = 13x + 70

Now, subtract 13x from both sides of the equal sign:

85x - 13x = 13x + 70 - 13x =

72x = 70

Divide both sides of the equal sign by 72:

72x%2F72+=+70%2F72 =

x+=+70%2F72

Finally, reduce the fraction to lowest terms to obtain your answer:

x+=+35%2F36