Question

Solve the following
x+5/3x-2=2x+7/6x-1

Answer 1

hope it helps

thanks you

Answer 2

Answer:

$x = \frac{ - 3}{4}$

Step-by-step explanation:

$\frac{x + 5}{3x - 2} = \frac{2x + 7}{6x - 1}$

$(x + 5)(6x - 1)=(2x + 7)(3x - 2)$

$6 {x}^{2} - x + 30x - 5 = 6 {x}^{2} - 4x + 21x - 14$

$\\ 6 {x}^{2} + 29x - 5 = 6 {x}^{2} + 17x - 14$

$6 {x}^{2} \: \: is \: cancled \: from \: both \\ sides \: of \: equation \: then$

$29x - 5 = 17x - 14$

$29x - 17x = - 14 + 5$

$12x = - 9$

$x = \frac{ - 9}{12} = \: \frac{ - 3}{4}$