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(3x-2)/8=(2x+1)/3 equation

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Numerical solution:

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The solution

You have entered [src]
3*x - 2   2*x + 1
------- = -------
   8         3   
$$\frac{3 x - 2}{8} = \frac{2 x + 1}{3}$$
Detail solution
Given the linear equation:
(3*x-2)/8 = (2*x+1)/3

Expand brackets in the left part
3*x/8-2/8 = (2*x+1)/3

Expand brackets in the right part
3*x/8-2/8 = 2*x/3+1/3

Move free summands (without x)
from left part to right part, we given:
$$\frac{3 x}{8} = \frac{2 x}{3} + \frac{7}{12}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-7\right) x}{24} = \frac{7}{12}$$
Divide both parts of the equation by -7/24
x = 7/12 / (-7/24)

We get the answer: x = -2
The graph
Rapid solution [src]
x1 = -2
$$x_{1} = -2$$
x1 = -2
Sum and product of roots [src]
sum
-2
$$-2$$
=
-2
$$-2$$
product
-2
$$-2$$
=
-2
$$-2$$
-2
Numerical answer [src]
x1 = -2.0
x1 = -2.0