5x-2=8(4x-7)-9x equation
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The solution
Detail solution
Given the linear equation:
5*x-2 = 8*(4*x-7)-9*x
Expand brackets in the right part
5*x-2 = 8*4*x-8*7-9*x
Looking for similar summands in the right part:
-2 + 5*x = -56 + 23*x
Move free summands (without x)
from left part to right part, we given:
$$5 x = 23 x - 54$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-18\right) x = -54$$
Divide both parts of the equation by -18
x = -54 / (-18)
We get the answer: x = 3
Sum and product of roots
[src]
$$3$$
$$3$$
$$3$$
$$3$$