algebra

for the first one, multiply each term by (x-1)(x+5)

-2(x+5) + 3(x+5) = 4(x-1)

expand and solve....

for the second one, I assume you meant :

1/(2x+7) = 3/(4x-4)

cross-multiply ....
6x+21 = 4x-4
2x = -25
x = -25/2