SOLUTION: Could you show me how to solve this problem using the method of clearing the decimals? 0.2x+3=0.4(x-1)

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Question 348061: Could you show me how to solve this problem using the method of clearing the decimals? 0.2x+3=0.4(x-1)
Found 2 solutions by mananth, jim_thompson5910:
Answer by mananth(12270) About Me  (Show Source):
You can put this solution on YOUR website!
0.2x+3=0.4(x-1)
...
the maximum number of decimals in the equation = 1
so multiply by 10
2x+30=4(x-1)
2x+30=4x-4
4x-2x=30+4
2x=34
x= 17
.....
If in the equation maximum digit after decimal is 2 multiply by 100
If 3 , multiply by 1000.

Answer by jim_thompson5910(28715) About Me  (Show Source):
You can put this solution on YOUR website!
0.2x%2B3=0.4%28x-1%29 Start with the given equation.


0.2x%2B3=0.4x-0.4 Distribute.


10%280.2x%2B3%29=10%280.4x-0.4%29 Multiply both sides by 10 to clear out the decimals.


2x%2B30=4x-4 Distribute and multiply.


2x=4x-4-30 Subtract 30 from both sides.


2x-4x=-4-30 Subtract 4x from both sides.


-2x=-4-30 Combine like terms on the left side.


-2x=-34 Combine like terms on the right side.


x=%28-34%29%2F%28-2%29 Divide both sides by -2 to isolate x.


x=17 Reduce.


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Answer:

So the solution is x=17


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim