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3-x/5=8+3x/2 equation

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Numerical solution:

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The solution

You have entered [src]
    x       3*x
3 - - = 8 + ---
    5        2 
$$- \frac{x}{5} + 3 = \frac{3 x}{2} + 8$$
Detail solution
Given the linear equation:
3-x/5 = 8+3*x/2

Move free summands (without x)
from left part to right part, we given:
$$- \frac{x}{5} = \frac{3 x}{2} + 5$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-17\right) x}{10} = 5$$
Divide both parts of the equation by -17/10
x = 5 / (-17/10)

We get the answer: x = -50/17
The graph
Rapid solution [src]
     -50 
x1 = ----
      17 
$$x_{1} = - \frac{50}{17}$$
x1 = -50/17
Sum and product of roots [src]
sum
-50 
----
 17 
$$- \frac{50}{17}$$
=
-50 
----
 17 
$$- \frac{50}{17}$$
product
-50 
----
 17 
$$- \frac{50}{17}$$
=
-50 
----
 17 
$$- \frac{50}{17}$$
-50/17
Numerical answer [src]
x1 = -2.94117647058824
x1 = -2.94117647058824