Given the linear equation:
(43/10)*x-(7/2) = (5/2)*x+(19/10)
Expand brackets in the left part
43/10x-7/2 = (5/2)*x+(19/10)
Expand brackets in the right part
43/10x-7/2 = 5/2x+19/10
Move free summands (without x)
from left part to right part, we given:
$$\frac{43 x}{10} = \frac{5 x}{2} + \frac{27}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{9 x}{5} = \frac{27}{5}$$
Divide both parts of the equation by 9/5
x = 27/5 / (9/5)
We get the answer: x = 3