Verified answer

[tex]3 + \frac{x - 7}{4} = \frac{2x + 5}{3} \\ \\ \frac{12}{4} + \frac{x - 7}{4} = \frac{2x + 5}{3} \\ \\ \frac{12 + x - 7}{4} = \frac{2x + 5}{3} \\ \\ \frac{5 + x}{4} = \frac{2x + 5}{3} \\ \\ 3(5 + x) = 4(2x + 5) \\ \\ 15 + 3x = 8x + 20 \\ \\ 8x - 3x = 15 - 20 \\ \\ 5x = - 5 \\ \\ x = - 1 [/tex]