Verified answer

[tex] \frac{3x - 7}{4} - \frac{2x}{3} = \frac{x + 4}{2} \: \: | \times 12 \\ 3(3x - 7) - 4 \times 2x = 6(x + 4) \\9 x - 21 - 8x = 6x + 24 \\ x - 6x = 24 + 21 \\ - 5x = 45 \\ x = 45 \div ( - 5) \\ x = - 9[/tex]