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(x+9)/7-x/2=2

(x+9)/7-x/2=2 equation

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Numerical solution:

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The solution

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x + 9   x    
----- - - = 2
  7     2    
$$- \frac{x}{2} + \frac{x + 9}{7} = 2$$
Detail solution
Given the linear equation:
(x+9)/7-x/2 = 2

Expand brackets in the left part
x/7+9/7-x/2 = 2

Looking for similar summands in the left part:
9/7 - 5*x/14 = 2

Move free summands (without x)
from left part to right part, we given:
$$- \frac{5 x}{14} = \frac{5}{7}$$
Divide both parts of the equation by -5/14
x = 5/7 / (-5/14)

We get the answer: x = -2
The graph
Sum and product of roots [src]
sum
-2
$$-2$$
=
-2
$$-2$$
product
-2
$$-2$$
=
-2
$$-2$$
-2
Rapid solution [src]
x1 = -2
$$x_{1} = -2$$
x1 = -2
Numerical answer [src]
x1 = -2.0
x1 = -2.0
The graph
(x+9)/7-x/2=2 equation