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(3-x)/5=x equation

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Numerical solution:

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The solution

You have entered [src]
3 - x    
----- = x
  5      
$$\frac{3 - x}{5} = x$$
Detail solution
Given the linear equation:
(3-x)/5 = x

Expand brackets in the left part
3/5-x/5 = x

Move free summands (without x)
from left part to right part, we given:
$$- \frac{x}{5} = x - \frac{3}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-6\right) x}{5} = - \frac{3}{5}$$
Divide both parts of the equation by -6/5
x = -3/5 / (-6/5)

We get the answer: x = 1/2
The graph
Sum and product of roots [src]
sum
1/2
$$\frac{1}{2}$$
=
1/2
$$\frac{1}{2}$$
product
1/2
$$\frac{1}{2}$$
=
1/2
$$\frac{1}{2}$$
1/2
Rapid solution [src]
x1 = 1/2
$$x_{1} = \frac{1}{2}$$
x1 = 1/2
Numerical answer [src]
x1 = 0.5
x1 = 0.5