Let's first simplify the equation by distributing and combining like terms:

0.5(х-3) = 0.6(4+х) - 2.6
0.5x - 1.5 = 2.4 + 0.6x - 2.6

Next, let's combine like terms:

0.5x - 1.5 = 0.6x - 0.2

Now, let's isolate the variable x by moving all terms involving x to one side of the equation:

0.5x - 0.6x = -1.5 + 0.2
-0.1x = -1.3

Finally, we can solve for x by dividing both sides by -0.1:

x = -1.3 / -0.1
x = 13

Therefore, the solution to the equation is x = 13.