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x+(7-x)/3=4 equation

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Numerical solution:

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The solution

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    7 - x    
x + ----- = 4
      3      
x+7x3=4x + \frac{7 - x}{3} = 4
Detail solution
Given the linear equation:
x+(7-x)/3 = 4

Expand brackets in the left part
x+7/3-x/3 = 4

Looking for similar summands in the left part:
7/3 + 2*x/3 = 4

Move free summands (without x)
from left part to right part, we given:
2x3=53\frac{2 x}{3} = \frac{5}{3}
Divide both parts of the equation by 2/3
x = 5/3 / (2/3)

We get the answer: x = 5/2
The graph
-10.0-7.5-5.0-2.50.02.55.07.510.012.515.017.520-10
Sum and product of roots [src]
sum
5/2
52\frac{5}{2}
=
5/2
52\frac{5}{2}
product
5/2
52\frac{5}{2}
=
5/2
52\frac{5}{2}
5/2
Rapid solution [src]
x1 = 5/2
x1=52x_{1} = \frac{5}{2}
x1 = 5/2
Numerical answer [src]
x1 = 2.5
x1 = 2.5