Question 687648
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/72 = 70/72}}} =


{{{x = 70/72}}}


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


{{{x = 35/36}}}