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4,3x-3,5=2,5x+1,9

4,3x-3,5=2,5x+1,9 equation

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Numerical solution:

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The solution

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43*x   7   5*x   19
---- - - = --- + --
 10    2    2    10
$$\frac{43 x}{10} - \frac{7}{2} = \frac{5 x}{2} + \frac{19}{10}$$
Detail solution
Given the linear equation:
(43/10)*x-(7/2) = (5/2)*x+(19/10)

Expand brackets in the left part
43/10x-7/2 = (5/2)*x+(19/10)

Expand brackets in the right part
43/10x-7/2 = 5/2x+19/10

Move free summands (without x)
from left part to right part, we given:
$$\frac{43 x}{10} = \frac{5 x}{2} + \frac{27}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{9 x}{5} = \frac{27}{5}$$
Divide both parts of the equation by 9/5
x = 27/5 / (9/5)

We get the answer: x = 3
The graph
Rapid solution [src]
x1 = 3
$$x_{1} = 3$$
x1 = 3
Sum and product of roots [src]
sum
3
$$3$$
=
3
$$3$$
product
3
$$3$$
=
3
$$3$$
3
Numerical answer [src]
x1 = 3.0
x1 = 3.0
The graph
4,3x-3,5=2,5x+1,9 equation