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Search for x , x=(0.2*x)+0.6

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

We search for x

x=(0.2*x)+0.6

Aug 7, 2017

#1
+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

Aug 7, 2017
#2
+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