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x/5=(2x+1)/3 equation

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Numerical solution:

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The solution

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

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

Move the summands with the unknown x
from the right part to the left part:
$$- \frac{7 x}{15} = \frac{1}{3}$$
Divide both parts of the equation by -7/15
x = 1/3 / (-7/15)

We get the answer: x = -5/7
The graph
Rapid solution [src]
x1 = -5/7
$$x_{1} = - \frac{5}{7}$$
x1 = -5/7
Sum and product of roots [src]
sum
-5/7
$$- \frac{5}{7}$$
=
-5/7
$$- \frac{5}{7}$$
product
-5/7
$$- \frac{5}{7}$$
=
-5/7
$$- \frac{5}{7}$$
-5/7
Numerical answer [src]
x1 = -0.714285714285714
x1 = -0.714285714285714