Answer :
[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]
[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]
[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]
[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]
[tex] ➺\: - 15x = - 2\\[/tex]
[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]
[tex]➺ \: x = \frac{2}{15}\\ [/tex]
[tex] ➺\: x = 0.1333[/tex]
[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]