3-(x-3)/5=x/4 equation
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The solution
Detail solution
Given the linear equation:
3-(x-3)/5 = x/4
Expand brackets in the left part
3-x/5+3/5 = x/4
Looking for similar summands in the left part:
18/5 - x/5 = x/4
Move free summands (without x)
from left part to right part, we given:
$$- \frac{x}{5} = \frac{x}{4} - \frac{18}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-9\right) x}{20} = - \frac{18}{5}$$
Divide both parts of the equation by -9/20
x = -18/5 / (-9/20)
We get the answer: x = 8
Sum and product of roots
[src]
$$8$$
$$8$$
$$8$$
$$8$$