SOLUTION: Please help, I'm lost -9x+1.7=3x+2.9 (the x is not times but the letter x, so its x I am trying to work out)

Algebra ->  Equations -> SOLUTION: Please help, I'm lost -9x+1.7=3x+2.9 (the x is not times but the letter x, so its x I am trying to work out)      Log On


   

Question 167796: Please help, I'm lost
-9x+1.7=3x+2.9 (the x is not times but the letter x, so its x I am trying to work out)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-9x%2B1.7=3x%2B2.9 Start with the given equation.


10%28-9x%2B1.7%29=10%283x%2B2.9%29 Multiply both sides by 10 to clear out the decimals.


-90x%2B17=30x%2B29 Distribute and multiply.


-90x=30x%2B29-17 Subtract 17 from both sides.


-90x-30x=29-17 Subtract 30x from both sides.


-120x=29-17 Combine like terms on the left side.


-120x=12 Combine like terms on the right side.


x=%2812%29%2F%28-120%29 Divide both sides by -120 to isolate x.


x=-1%2F10 Reduce.


----------------------------------------------------------------------

Answer:

So the answer is x=-1%2F10 which in decimal form is to x=-0.1.



===================================================

Alternative way


-9x%2B1.7=3x%2B2.9 Start with the given equation.


-9x=3x%2B2.9-1.7 Subtract 1.7 from both sides.


-9x-3x=2.9-1.7 Subtract 3x from both sides.


-12x=2.9-1.7 Combine like terms on the left side.


-12x=1.2 Combine like terms on the right side.


x=%281.2%29%2F%28-12%29 Divide both sides by -12 to isolate "x"


x=-0.10 Divide.


So the answer is x=-0.10 (which is the same as the previous answer)