3(5-x)+13=4(3x-8) equation
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The solution
Detail solution
Given the linear equation:
3*(5-x)+13 = 4*(3*x-8)
Expand brackets in the left part
3*5-3*x+13 = 4*(3*x-8)
Expand brackets in the right part
3*5-3*x+13 = 4*3*x-4*8
Looking for similar summands in the left part:
28 - 3*x = 4*3*x-4*8
Move free summands (without x)
from left part to right part, we given:
$$- 3 x = 12 x - 60$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-15\right) x = -60$$
Divide both parts of the equation by -15
x = -60 / (-15)
We get the answer: x = 4
Sum and product of roots
[src]
$$4$$
$$4$$
$$4$$
$$4$$