a)

`39 + 7 (x + 1) = 60`

`7 (x + 1) = 60 - 39`

`7 (x + 1) = 21`

`(x + 1) = 21 : 7`

`(x + 1) = 3`

`x = 3 - 1`

`x = 2`

Vậy `x = 2`

`@ @ @ @ @`

b)

`3^(x - 1) - 3 = 78`

`3^(x - 1) = 78 + 3`

`3^(x - 1) = 81`

`3^(x - 1) = 3^4`

`x - 1 = 4`

`x = 4 + 1`

`x = 5`

Vậy `x = 5`

`@ @ @ @ @`

c)

`5 . (x + 15) = 5^3`

`(x + 15) = 125 : 5`

`(x + 15) = 25`

`x = 25 - 15`

`x = 10`

Vậy `x = 10`

`@ @ @ @ @`

d)

`2^(x + 2) - 2^x = 96`

`2^x xx 2 . 2 - 2^x . 1 = 96`

`2^x . 4 - 2^x . 1 = 96`

`2^x . (4 - 1) = 96`

`2^x . 3 = 96`

`2^x = 96 : 3`

`2^x = 32`

`2^x = 2^5`

`x = 5`

Vậy `x = 5`

`@ @ @ @ @`

e)

`(2x - 130) : 4 + 213 = 5^2 + 19^3`

`(2x - 130) : 4 + 213 = 6884`

`(2x - 130) : 4 = 6884 - 213`

`(2x - 130) : 4 = 6671`

`(2x - 130) = 6671 . 4`

`(2x - 130) = 26684`

`2x = 26684 + 130`

`2x = 26814`

`x = 26814 : 2`

`x = 13407`

Vậy `x = 13407`