А) (х - 2)/4 + (х + 3)/8 = (8 -х)/6 , умножим левую и правую часть на 24 :
6(х -2) + 3(х + 3) = 4(8 - х) 6х -12 + 3х + 9 = 32 -4х
6х + 3х + 4х = 32 + 12 - 9 13х = 35 х = 35/13 х = 2 9/13
б) (3х -1)/28 - (5 - 4х)/14 = (7 + 9х)/7 (3х -1) - (5- 4х)*2 = (7 + 9х)*4
3х - 1 -10 + 8х = 28 + 36х 3х + 8х - 36х = 28 + 1 + 10 -25х = 39
х = - 39/25 х = - 1 14/25
в) (4- 5х)/18 + (2х + 3)/9 = (7х - 8) /36 (4 - 5х)*2 +(2х + 3) * 4 = 7х - 8
8 -10х + 8х +12 = 7х - 8 -10х +8х -7х = -8 -12 - 8 -9х = -28 х = 28/9
г) (3- 4х) /3 - (8 + 9х)/4 = (9 - 4х)/8 (3 - 4х)*8 - (8 + 9х)*6 = (9 - 4х)*3
24 - 32х - 48 - 54х = 27 - 12х -32х -54х +12х = 27 -24 +48 -74х = 51
х = - 51/74