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

We search for x

x=(0.2*x)+0.6

Thanks for your time !

Guest Aug 7, 2017

#1**+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

CPhill
Aug 7, 2017

#2**+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.

TheXSquaredFactor
Aug 7, 2017