6(4x+3)-9=3(6x-9) equation
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The solution
Detail solution
Given the linear equation:
6*(4*x+3)-9 = 3*(6*x-9)
Expand brackets in the left part
6*4*x+6*3-9 = 3*(6*x-9)
Expand brackets in the right part
6*4*x+6*3-9 = 3*6*x-3*9
Looking for similar summands in the left part:
9 + 24*x = 3*6*x-3*9
Move free summands (without x)
from left part to right part, we given:
$$24 x = 18 x - 36$$
Move the summands with the unknown x
from the right part to the left part:
$$6 x = -36$$
Divide both parts of the equation by 6
x = -36 / (6)
We get the answer: x = -6
Sum and product of roots
[src]
$$-6$$
$$-6$$
$$-6$$
$$-6$$