Question

8x+3/2x-4 = 4x/2x-5 solve the equation

Answer 1

$\frac{8x + 3}{2x - 4} = \frac{4x}{2x - 5} \\ \\ (8x + 3)(2x - 5) = 4x(2x - 4) \\ {16x}^{2} - 40x + 6x - 15 = {8x}^{2} - 16x \\ {16x}^{2} - 34x - 15 = {8x}^{2} - 16x \\ {16x}^{2} - 34x - {8x}^{2} + 16x = 15 \\ {8x}^{2} - 18x = 15 \\ 2x(4x - 9) = 15 \\ \\ \\ \\ 2x = 15 \\ x = \frac{15}{2} = 7.5 \\ \\ \\ \\ \\ \\ \\ 4x - 9 = 15 \\ 4x = 15 + 9 \\ 4x = 24 \\ x = \frac{24}{4} = 6$