x-(1/3*x+2)-(1/4*x+1)-((x-(1/3*x+1/4*x+2+1))*0,5)=1/6 equation
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The solution
Detail solution
Given the linear equation:
x-(1/3*x+2)-(1/4*x+1)-((x-(1/3*x+1/4*x+2+1))*(1/2)) = 1/6
Expand brackets in the left part
x-1/3*x-2-1/4*x-1-x-1/3*x-1/4*x-2-1)1/2) = 1/6
Looking for similar summands in the left part:
-3/2 + 5*x/24 = 1/6
Move free summands (without x)
from left part to right part, we given:
$$\frac{5 x}{24} = \frac{5}{3}$$
Divide both parts of the equation by 5/24
x = 5/3 / (5/24)
We get the answer: x = 8
Sum and product of roots
[src]
$$8$$
$$8$$
$$8$$
$$8$$