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0,6(x+7)=0,5(x-3) equation

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Numerical solution:

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The solution

You have entered [src]
3*(x + 7)   x - 3
--------- = -----
    5         2  
$$\frac{3 \left(x + 7\right)}{5} = \frac{x - 3}{2}$$
Detail solution
Given the linear equation:
(3/5)*(x+7) = (1/2)*(x-3)

Expand brackets in the left part
3/5x+7 = (1/2)*(x-3)

Expand brackets in the right part
3/5x+7 = 1/2x-3

Move free summands (without x)
from left part to right part, we given:
$$\frac{3 x}{5} = \frac{x}{2} - \frac{57}{10}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{x}{10} = - \frac{57}{10}$$
Divide both parts of the equation by 1/10
x = -57/10 / (1/10)

We get the answer: x = -57
The graph
Rapid solution [src]
x1 = -57
$$x_{1} = -57$$
x1 = -57
Sum and product of roots [src]
sum
-57
$$-57$$
=
-57
$$-57$$
product
-57
$$-57$$
=
-57
$$-57$$
-57
Numerical answer [src]
x1 = -57.0
x1 = -57.0