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Hello , could you explain me how the followin equation works ?

 

We search for x

 

x=(0.2*x)+0.6

 

Thanks for your time !

 Aug 7, 2017
 #1
avatar+94544 
+1

 

We can write 

 

1x  =(0.2*x)+0.6     subtract 0.2 x  from  both sides

 

.8x  = .6      divide both sides by .8

 

x  =  .6 / .8  =  6 / 8  = 3 / 4 = .75

 

 

cool cool cool

 Aug 7, 2017
 #2
avatar+2298 
+1

Here is another method to solve this equation. I like this method as it gets rid of all the pesky fractions and/or decimals in an equation:

 

\(x=0.2x+0.6\)Multiply both sides of the equation by 10.
\(10x=2x+6\)By multiplying by 10, we have eliminated any decimals in the equation. Subtract 2x from both sides.
\(8x=6\)Divide by 8 on both sides.
\(x=\frac{6}{8}=\frac{3}{4}=0.75\) 
  

 

For this particular problem, the method one chooses here is trivial, as the problem is too short to make a noticeable difference. However, I find that I prefer (and have ultimately defaulted to) this method of eliminating any and all decimals and/or fractions to ease the solving process for more complicated equations. 

 Aug 7, 2017
edited by TheXSquaredFactor  Aug 7, 2017

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