x+4/-3=6-x

if you mean (x+4)/-3 = 6-x, then

x+4 = -18 + 3x
x = 11

If you mean x + (4/-3) = 6-x, then
2x = 22/3
x = 11/3

when mixing sums and products, use parentheses to make it clear what is to be evaluated. When written on a single line, multiplications and divisions are done before additions and subtractions