SOLUTION: Please help me with: 0.4x -0.15 = 0.65 -0.3(6-2x) (I multiplied by 100 to get the answer {-5} but it doesn't check.)

Algebra ->  Equations -> SOLUTION: Please help me with: 0.4x -0.15 = 0.65 -0.3(6-2x) (I multiplied by 100 to get the answer {-5} but it doesn't check.)      Log On


   

Question 177282: Please help me with:
0.4x -0.15 = 0.65 -0.3(6-2x)
(I multiplied by 100 to get the answer {-5} but it doesn't check.)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
0.4x+-0.15+=+0.65+-0.3%286-2x%29 Start with the given equation.


0.4x+-0.15+=+0.65+-1.8%2B0.6x Distribute


100%280.4x-0.15%29=100%280.65-1.8%2B0.6x%29 Multiply EVERY term by 100 to make the decimal numbers into whole numbers.


40x-15=65-180%2B60x Multiply.


40x-15=60x-115 Combine like terms on the right side.


40x=60x-115%2B15 Add 15 to both sides.


40x-60x=-115%2B15 Subtract 60x from both sides.


-20x=-115%2B15 Combine like terms on the left side.


-20x=-100 Combine like terms on the right side.


x=%28-100%29%2F%28-20%29 Divide both sides by -20 to isolate x.


x=5 Reduce.


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Answer:

So the answer is x=5