Given the linear equation:
(1/5)*(x-4) = 20-(1/5)*x
Expand brackets in the left part
1/5x-4 = 20-(1/5)*x
Expand brackets in the right part
1/5x-4 = 20-1/5x
Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{5} = \frac{104}{5} - \frac{x}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{2 x}{5} = \frac{104}{5}$$
Divide both parts of the equation by 2/5
x = 104/5 / (2/5)
We get the answer: x = 52