8-5(2x-3)=13-6x equation
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The solution
Detail solution
Given the linear equation:
8-5*(2*x-3) = 13-6*x
Expand brackets in the left part
8-5*2*x+5*3 = 13-6*x
Looking for similar summands in the left part:
23 - 10*x = 13-6*x
Move free summands (without x)
from left part to right part, we given:
$$- 10 x = - 6 x - 10$$
Move the summands with the unknown x
from the right part to the left part:
$$- 4 x = -10$$
Divide both parts of the equation by -4
x = -10 / (-4)
We get the answer: x = 5/2
Sum and product of roots
[src]
$$0 + \frac{5}{2}$$
$$\frac{5}{2}$$
$$1 \cdot \frac{5}{2}$$
$$\frac{5}{2}$$