Question

Solve: (3x+2)/(5x+16)=(3x-
2)/(5x-2)​

Answer 1

Step-by-step explanation:

hope it will help you:-)

Answer 2

$\huge\underline{\bf \orange{Solution :}}$

$\implies \tt \frac{3x + 2}{5x + 16} = \frac{3x - 2}{5x - 2} \\ \\\implies \tt (3x + 2)(5x - 2) = (3x - 2)(5x + 16) \\ \\ \implies \tt15 {x}^{2} - 6x + 10x - 4 = 15 {x}^{2} +48x - 10x - 32 \\ \\ \implies \tt \cancel{{15x}}^{2} + 4x - 4 = \cancel{{15x}^{2}} + 38x - 32 \\ \\ \implies \tt4x - 4 = 38x - 32 \\ \\ \implies \tt4x - 38x = - 32 + 4 \\ \\ \implies \tt - 34x = - 28 \\ \\ \implies \tt x = \frac{ - 28}{ - 34} \\ \\ \implies \underline{\boxed{\tt x = \dfrac{14}{17}} }$