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(9000+3000+x)/4=x equation

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Numerical solution:

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The solution

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12000 + x    
--------- = x
    4        
$$\frac{x + 12000}{4} = x$$
Detail solution
Given the linear equation:
(9000+3000+x)/4 = x

Expand brackets in the left part
9000/4+3000/4+x/4 = x

Looking for similar summands in the left part:
3000 + x/4 = x

Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{4} = x - 3000$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-3\right) x}{4} = -3000$$
Divide both parts of the equation by -3/4
x = -3000 / (-3/4)

We get the answer: x = 4000
The graph
Sum and product of roots [src]
sum
4000
$$4000$$
=
4000
$$4000$$
product
4000
$$4000$$
=
4000
$$4000$$
4000
Rapid solution [src]
x1 = 4000
$$x_{1} = 4000$$
x1 = 4000
Numerical answer [src]
x1 = 4000.0
x1 = 4000.0