Given the linear equation:
(7/2)-x = 8*(x+(14/5))
Expand brackets in the left part
7/2-x = 8*(x+(14/5))
Expand brackets in the right part
7/2-x = 8*x+8*14/5)
Move free summands (without x)
from left part to right part, we given:
$$- x = 8 x + \frac{189}{10}$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-9\right) x = \frac{189}{10}$$
Divide both parts of the equation by -9
x = 189/10 / (-9)
We get the answer: x = -21/10