10x-5=6(8x+3)-5x equation
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The solution
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
Sum and product of roots
[src]
$$- \frac{23}{33}$$
$$- \frac{23}{33}$$
$$- \frac{23}{33}$$
$$- \frac{23}{33}$$
$$x_{1} = - \frac{23}{33}$$