5(x-6)=15(x-8) equation
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The solution
Detail solution
Given the linear equation:
5*(x-6) = 15*(x-8)
Expand brackets in the left part
5*x-5*6 = 15*(x-8)
Expand brackets in the right part
5*x-5*6 = 15*x-15*8
Move free summands (without x)
from left part to right part, we given:
$$5 x = 15 x - 90$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-10\right) x = -90$$
Divide both parts of the equation by -10
x = -90 / (-10)
We get the answer: x = 9
Sum and product of roots
[src]
$$9$$
$$9$$
$$9$$
$$9$$