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10x-5=6(8x+3)-5x

10x-5=6(8x+3)-5x equation

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Numerical solution:

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The solution

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10*x - 5 = 6*(8*x + 3) - 5*x
$$10 x - 5 = - 5 x + 6 \left(8 x + 3\right)$$
Detail solution
Given the linear equation:
10*x-5 = 6*(8*x+3)-5*x

Expand brackets in the right part
10*x-5 = 6*8*x+6*3-5*x

Looking for similar summands in the right part:
-5 + 10*x = 18 + 43*x

Move free summands (without x)
from left part to right part, we given:
$$10 x = 43 x + 23$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-33\right) x = 23$$
Divide both parts of the equation by -33
x = 23 / (-33)

We get the answer: x = -23/33
The graph
Sum and product of roots [src]
sum
-23 
----
 33 
$$- \frac{23}{33}$$
=
-23 
----
 33 
$$- \frac{23}{33}$$
product
-23 
----
 33 
$$- \frac{23}{33}$$
=
-23 
----
 33 
$$- \frac{23}{33}$$
-23/33
Rapid solution [src]
     -23 
x1 = ----
      33 
$$x_{1} = - \frac{23}{33}$$
x1 = -23/33
Numerical answer [src]
x1 = -0.696969696969697
x1 = -0.696969696969697
The graph
10x-5=6(8x+3)-5x equation