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(x+3)/3=(3-x)/8

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

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Numerical solution:

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The solution

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x + 3   3 - x
----- = -----
  3       8  
$$\frac{x + 3}{3} = \frac{3 - x}{8}$$
Detail solution
Given the linear equation:
(x+3)/3 = (3-x)/8

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

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

Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{3} = - \frac{x}{8} - \frac{5}{8}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{11 x}{24} = - \frac{5}{8}$$
Divide both parts of the equation by 11/24
x = -5/8 / (11/24)

We get the answer: x = -15/11
The graph
Sum and product of roots [src]
sum
-15 
----
 11 
$$- \frac{15}{11}$$
=
-15 
----
 11 
$$- \frac{15}{11}$$
product
-15 
----
 11 
$$- \frac{15}{11}$$
=
-15 
----
 11 
$$- \frac{15}{11}$$
-15/11
Rapid solution [src]
     -15 
x1 = ----
      11 
$$x_{1} = - \frac{15}{11}$$
x1 = -15/11
Numerical answer [src]
x1 = -1.36363636363636
x1 = -1.36363636363636
The graph
(x+3)/3=(3-x)/8 equation