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7,8x-4,6x+0,8=12

7,8x-4,6x+0,8=12 equation

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Numerical solution:

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The solution

You have entered [src]
39*x   23*x   4     
---- - ---- + - = 12
 5      5     5     
$$\left(- \frac{23 x}{5} + \frac{39 x}{5}\right) + \frac{4}{5} = 12$$
Detail solution
Given the linear equation:
(39/5)*x-(23/5)*x+(4/5) = 12

Expand brackets in the left part
39/5x-23/5x+4/5 = 12

Looking for similar summands in the left part:
4/5 + 16*x/5 = 12

Move free summands (without x)
from left part to right part, we given:
$$\frac{16 x}{5} = \frac{56}{5}$$
Divide both parts of the equation by 16/5
x = 56/5 / (16/5)

We get the answer: x = 7/2
The graph
Sum and product of roots [src]
sum
7/2
$$\frac{7}{2}$$
=
7/2
$$\frac{7}{2}$$
product
7/2
$$\frac{7}{2}$$
=
7/2
$$\frac{7}{2}$$
7/2
Rapid solution [src]
x1 = 7/2
$$x_{1} = \frac{7}{2}$$
x1 = 7/2
Numerical answer [src]
x1 = 3.5
x1 = 3.5
The graph
7,8x-4,6x+0,8=12 equation