<s>[INST] How to solve this linear equation? which has an x on each side I have made this equation. 
$5x + 8 = 10x + \dfrac{3}{6}$
And I have achieved this result:
$x = 9$
Is my result correct?
I have already posted two other questions related to this topic, I'm a programmer and am learning Math out of my interest, this is not homework. 
My steps taken:
10x - 5x = 48 - 3
5x = 45
5x/5 = 45/5
x = 9
This is my steps which led to a wrong answer.
 [/INST] $5x + 8 = 10x + 3/6$
Let's gather all the x's on one side and the other stuff on the other side as well as reduce the fraction to lowest terms first:
$10x-5x = 8-\frac{1}{2}$
$5x = 8-.5$
$5x = 7.5$
$x = 1.5$ or $x=\frac{3}{2}$ or $x=1+\frac{1}{2}$  
Now, to compute each side as a verfication:
$LHS= 5x+8 = 5*\frac{3}{2}+8 = 7.5+8 = 15.5$
$RHS = 10x+\frac{3}{6} = 10*\frac{3}{2}+\frac{1}{2} = 15+0.5 = 15.5$
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