Question

9. 1/3(x+6) =8

15. 1/5(x+10)=6

20. 1/8(24x+32)=10

32. 5-1/2(x-6)=4

33.2/3(3x-6)=3

Answer 1

9.
х+6=8÷1/3
х+6=8×3/1
х+6=24
х=24-6
х=18

15.
х+10=6÷1/5
х+10=6×5/1
х+10=30
х=30-10
х=20

20.
24х+32=10÷1/8
24х+32=10×8/1
24х+32=80
24х=80-32
24х=48
х=48÷24
х=2

Answer 2

9. ¹/₃(x + 6) = 8
¹/₃(x) + ¹/₃(6) = 8
¹/₃x + 2 = 8
- 2 - 2
3 · ¹/₃x = 6 · 3
x = 18

15. ¹/₅(x + 10) = 6
¹/₅(x) + ¹/₅(10) = 6
¹/₅x + 2 = 6
- 2 - 2
5 · ¹/₅x = 4 · 5
x = 20

20. ¹/₈(24x + 32) = 10
¹/₈(24x) + ¹/₈(32) = 10
3x + 4 = 10
- 4 - 4
3x = 6
3 3
x = 2

32. 5 - ¹/₂(x - 6) = 4
5 - ¹/₂(x) - ¹/₂(-6) = 4
5 - ¹/₂x + 3 = 4
5 + 3 - ¹/₂x = 4
8 - ¹/₂x = 4
- 8 - 8
-2 · (-¹/₂x) = -4 · (-2)
x = 8

33. ²/₃(3x - 6) = 3
²/₃(3x) - ²/₃(6) = 3
2x - 4 = 3
+ 4 + 4
2x = 7
2 2
x = 3¹/₂