[tex]x- \frac{4}{3} = 3x+ \frac{4}{7} [/tex]
You want to put like terms on like sides.
[tex]x-3x = \frac{4}{3}+ \frac{4}{7} [/tex]
Then on the right side use common denominator of 21:
[tex]-2x= \frac{28}{21}+ \frac{12}{21} [/tex]
[tex]-2x = \frac{40}{21} [/tex]
Then divide by -2 and get:
[tex]x = \frac{40}{21*-2} = \frac{-20}{21} = -.9524 [/tex]