Answer:
[tex]x = - \frac{5}{22} [/tex]
Step-by-step explanation:
[tex]4 - \frac{2(x - 4)}{3} = \frac{3(2x + 5)}{2} [/tex]
➡️ [tex] 4x - \frac{2x - 8}{3} = \frac{6x + 15}{2} [/tex]
[tex] ➡️ 24 - 2(2x - 8) = 3(6x + 15)[/tex]
[tex] ➡️ 24 - 4x + 16 = 18x + 45[/tex]
[tex] ➡️ 40 - 4x = 18x + 45[/tex]
[tex] ➡️ - 4x - 18x = 45 - 40[/tex]
[tex] ➡️ - 22x = 5[/tex]
➡️ [tex] x = - \frac{5}{22} [/tex]
