Given the linear equation:
(3/5)*(x+7) = (1/2)*(x-3)
Expand brackets in the left part
3/5x+7 = (1/2)*(x-3)
Expand brackets in the right part
3/5x+7 = 1/2x-3
Move free summands (without x)
from left part to right part, we given:
$$\frac{3 x}{5} = \frac{x}{2} - \frac{57}{10}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{x}{10} = - \frac{57}{10}$$
Divide both parts of the equation by 1/10
x = -57/10 / (1/10)
We get the answer: x = -57