Question

please help to solve this question
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Answer 1

$\bold{ \huge{ Answer:- }}\\\bold{ \frac{x - 2}{x + 4} = \frac{2x - 3}{2x + 1} }\\ Cross \: mutiply \\ (x - 2)(2x + 1) = (x + 4)(2 x- 3) \\ x(2x + 1) - 2(2x + 1) = x(2x - 3) + 4(2x - 3) \\ 2 {x}^{2} + x - 4x - 2 = 2 {x}^{2} - 3x + 8x - 12 \\ 2 {x}^{2} - 2 {x}^{2} + x - 4x - 8x + 3x - 2 + 12 = 0 \\ ( - 8x) + 10 = 0 \\ ( - 8x) = ( - 10) \\ 8x = 10 \\ \bold{ \large{ \boxed{ x = \frac{10}{8} = \frac{5}{4} } }}$