Given the linear equation:
(2+14*x)/2 = (8*x-10)/3
Expand brackets in the left part
2/2+14*x/2 = (8*x-10)/3
Expand brackets in the right part
2/2+14*x/2 = 8*x/3-10/3
Move free summands (without x)
from left part to right part, we given:
$$7 x = \frac{8 x}{3} - \frac{13}{3}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{13 x}{3} = - \frac{13}{3}$$
Divide both parts of the equation by 13/3
x = -13/3 / (13/3)
We get the answer: x = -1