5x-6(5+2x)=x-2 equation
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The solution
Detail solution
Given the linear equation:
5*x-6*(5+2*x) = x-2
Expand brackets in the left part
5*x-6*5-6*2*x = x-2
Looking for similar summands in the left part:
-30 - 7*x = x-2
Move free summands (without x)
from left part to right part, we given:
$$- 7 x = x + 28$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-8\right) x = 28$$
Divide both parts of the equation by -8
x = 28 / (-8)
We get the answer: x = -7/2
Sum and product of roots
[src]
$$- \frac{7}{2}$$
$$- \frac{7}{2}$$
$$- \frac{7}{2}$$
$$- \frac{7}{2}$$
$$x_{1} = - \frac{7}{2}$$