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(x+3)/12-1*(x-3)/4=(x+2)/6 equation

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Numerical solution:

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The solution

You have entered [src]
x + 3   x - 3   x + 2
----- - ----- = -----
  12      4       6  
$$- \frac{x - 3}{4} + \frac{x + 3}{12} = \frac{x + 2}{6}$$
Detail solution
Given the linear equation:
(x+3)/12-1*(x-3)/4 = (x+2)/6

Expand brackets in the left part
x/12+3/12-1*x/4+1*3/4 = (x+2)/6

Expand brackets in the right part
x/12+3/12-1*x/4+1*3/4 = x/6+2/6

Looking for similar summands in the left part:
1 - x/6 = x/6+2/6

Move free summands (without x)
from left part to right part, we given:
$$- \frac{x}{6} = \frac{x}{6} - \frac{2}{3}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-1\right) x}{3} = - \frac{2}{3}$$
Divide both parts of the equation by -1/3
x = -2/3 / (-1/3)

We get the answer: x = 2
The graph
Sum and product of roots [src]
sum
2
$$2$$
=
2
$$2$$
product
2
$$2$$
=
2
$$2$$
2
Rapid solution [src]
x1 = 2
$$x_{1} = 2$$
x1 = 2
Numerical answer [src]
x1 = 2.0
x1 = 2.0