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2/3(19-x)+3/5x=12/19*19 equation

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Numerical solution:

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The solution

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2*(19 - x)   3*x   12*19
---------- + --- = -----
    3         5      19 
$$\frac{3 x}{5} + \frac{2 \left(19 - x\right)}{3} = \frac{12 \cdot 19}{19}$$
Detail solution
Given the linear equation:
2/3*(19-x)+3/5*x = 12/19*19

Expand brackets in the left part
2/3*19-2/3*x+3/5*x = 12/19*19

Looking for similar summands in the left part:
38/3 - x/15 = 12/19*19

Move free summands (without x)
from left part to right part, we given:
$$- \frac{x}{15} = - \frac{2}{3}$$
Divide both parts of the equation by -1/15
x = -2/3 / (-1/15)

We get the answer: x = 10
The graph
Sum and product of roots [src]
sum
10
$$10$$
=
10
$$10$$
product
10
$$10$$
=
10
$$10$$
10
Rapid solution [src]
x1 = 10
$$x_{1} = 10$$
x1 = 10
Numerical answer [src]
x1 = 10.0
x1 = 10.0