Đáp án+Giải thích các bước giải:
`a)`
`3x + 5/6 = 11/2`
`->3x = 11/2 - 5/6`
`->3x = 14/3`
`->x = 14/3 : 3`
`->x = 14/3 . 1/3`
`->x = 14/9`
Vậy `x=14/9`
$\\$
`b)`
`|2x-1|-7/5=11/3`
`->|2x-1|=11/3+7/5`
`->|2x-1|=76/15`
TH1:
`2x-1=76/15`
`->2x=76/5 + 1`
`->2x=81/5`
`->x=81/5:2`
`->x=81/5 . 1/2`
`x=81/10`
TH2:
`2x-1=-76/15`
`->2x=-76/5 + 1`
`->2x=-71/5`
`->x=-71/5:2`
`->x=-71/5 . 1/2`
`->x=-71/10`
Vậy `x=81/10` hoặc `x=-71/10`
$\\$
`c)`
`(x - 1/5)^3 = (x - 1/5)^5`
TH1:
`x - 1/5 = 0`
`->x = 0 + 1/5`
`->x = 1/5`
TH2:
`x-1/5 = 1`
`->x = 1+ 1/5`
`->x= 6/5`
Vậy `x=1/5` hoặc `x=6/5`
$\\$
`d)`
`(2/3)^(x+1)=8/27`
`->(2/3)^(x+1)=(2/3)^3`
`->x+1=3`
`->x=3-1`
`->x=2`
Vậy `x=2`
$\\$
`e)`
`(x-1)/3 = 12/(x-1)`
`->(x-1)(x-1)=12.3`
`->(x-1)^2=36`
`->(x-1)^2=6^2`
TH1:
`x-1=6`
`->x=6+1`
`->x=7`
TH2:
`x-1=-6`
`->x=-6+1`
`->x=-5`
Vậy `x=7` hoặc `x=-5`
$\\$
`f)`
`(x+5)/7=6/14`
`->x+5=(6.7):14`
`->x+5=42:14`
`->x+5=3`
`->x=3-5`
`->x=-2`
Vậy `x=-2`
$\\$
`g)`
`(x+1)/2=(2x-3)/3`
`->3(x+1)=2(2x-3)`
`->3x+3=4x-6`
`->3x-4x=-3-6`
`->-1x=-9`
`->x=(-9):(-1)`
`->x=9`
Vậy `x=9`
