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(2+14x)/2=(8x-10)/3 equation

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Numerical solution:

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The solution

You have entered [src]
2 + 14*x   8*x - 10
-------- = --------
   2          3    
$$\frac{14 x + 2}{2} = \frac{8 x - 10}{3}$$
Detail solution
Given the linear equation:
(2+14*x)/2 = (8*x-10)/3

Expand brackets in the left part
2/2+14*x/2 = (8*x-10)/3

Expand brackets in the right part
2/2+14*x/2 = 8*x/3-10/3

Move free summands (without x)
from left part to right part, we given:
$$7 x = \frac{8 x}{3} - \frac{13}{3}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{13 x}{3} = - \frac{13}{3}$$
Divide both parts of the equation by 13/3
x = -13/3 / (13/3)

We get the answer: x = -1
The graph
Rapid solution [src]
x1 = -1
$$x_{1} = -1$$
x1 = -1
Sum and product of roots [src]
sum
-1
$$-1$$
=
-1
$$-1$$
product
-1
$$-1$$
=
-1
$$-1$$
-1
Numerical answer [src]
x1 = -1.0
x1 = -1.0