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(17x-8x+3)∶6=14 equation

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Numerical solution:

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The solution

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17*x - 8*x + 3     
-------------- = 14
      6            
$$\frac{\left(- 8 x + 17 x\right) + 3}{6} = 14$$
Detail solution
Given the linear equation:
(17*x-8*x+3)/6 = 14

Expand brackets in the left part
17*x/6-8*x/6+3/6 = 14

Looking for similar summands in the left part:
1/2 + 3*x/2 = 14

Move free summands (without x)
from left part to right part, we given:
$$\frac{3 x}{2} = \frac{27}{2}$$
Divide both parts of the equation by 3/2
x = 27/2 / (3/2)

We get the answer: x = 9
The graph
Sum and product of roots [src]
sum
9
$$9$$
=
9
$$9$$
product
9
$$9$$
=
9
$$9$$
9
Rapid solution [src]
x1 = 9
$$x_{1} = 9$$
x1 = 9
Numerical answer [src]
x1 = 9.0
x1 = 9.0