Given the linear equation:
(47/10)*x-(13/10) = (26/5)*x-(14/5)
Expand brackets in the left part
47/10x-13/10 = (26/5)*x-(14/5)
Expand brackets in the right part
47/10x-13/10 = 26/5x-14/5
Move free summands (without x)
from left part to right part, we given:
$$\frac{47 x}{10} = \frac{26 x}{5} - \frac{3}{2}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-1\right) x}{2} = - \frac{3}{2}$$
Divide both parts of the equation by -1/2
x = -3/2 / (-1/2)
We get the answer: x = 3