1. 8 (x + 3) = 48
8x + 24 = 48
8x = 48 — 24
8x = 24
x = 3
2. 5 (y — 1) = 30
5y — 5 = 30
5y = 30 + 5
5y = 35
y = 7
3. (z + 2) • 4 = 60
4z + 8 = 60
4z = 60 — 8
4z = 52
z = 13
4. (2x — 1) • 9 = 45
18x — 9 = 45
18x = 45 + 9
18x = 54
x = 3
5. 3 (a + 5) = 36
3a + 15 = 36
3a = 36 — 15
3a = 21
a = 7
6. 14 = 7 (b — 3)
7b — 21 = 14
7b = 14 + 21
7b = 35
b = 5
7. 8 (2m + 5) = 72
16m + 40 = 72
16m = 72 — 40
16m = 32
m = 2
8. 4 (15 — 2x) = 20
60 — 8x = 20
-8x = 20 — 60
-8x = -40
x = 40/8
x = 5
9. (15 — 4y) • 15 = 45
225 — 60y = 45
-60y = 45 — 225
-60y = -180
y = 3
10. -36 = 2 (10 — 7z)
20 — 14z = -36
-14z = -36 — 20
-14z = -56
z = 56/14 = 28/7
11. 6 (4 + 3a) = -48
24 + 18a = -48
18a = -72
a = -72/18
a = -4
12. 35 = -5 (1 — x)
-5 + 5x = 35
5x = 35 + 5
5x = 40
x = 8
13. 3 (x — 5) + 8 = 17
3x — 15 + 8 =17
3x = 17 — 8 + 15
3x = 24
x = 24
x = 8
14. 5 (y — 2) — 9 = 11
5y — 10 — 9 = 11
5y = 11 + 9 + 10
5y = 30
y = 6
15. 6 (a + 5) — 8a = a
6a + 30 — 8a = a
6a — 8a — a = -30
-3a = -30
a = 10
16. -2z + 7 (z + 3) = 41
-2z + 7z + 21 = 41
-2z + 7z = 41 — 21
5z = 20
z = 4
17. 3 (7 — b) — 5 = 5b
21 — 3b — 5 = 5b
-3b — 5b = -21 + 5
-8b = -16
b = 2
18. 5c + 2 (7 — 2c) = 11
5c + 14 — 4c = 11
5c — 4c = 11 — 14
c = -16
19. 8 (10 — x) = 5 (x + 3)
80 — 8x = 5x + 15
-8x — 5x = 15 — 80
-13x = -65
x = 5
20. 6 (7a — 3) = 64 + a
42a — 18 = 64 + a
42a — a = 18
41a = 18/41
21. 6 (x — 3) + 2 (x + 2) = 10
6x — 18 + 2x + 4 = 10
6x + 2x = 10 + 18 — 4
8x = 24
x = 3
22. 5 (y — 1) — 4 (y — 3) = -20
5y — 5 — 4y + 12 = -20
5y — 4y = -20 + 5 — 12
y = -27
23. 5 (x + 1) + 6 (x + 2) = 9 (x + 3)
5x + 5 + 6x + 12 = 9x + 27
5x + 6x — 9x = 27 — 5 — 12
2x = 20
x = 10
24. 6 (x + 1) + 3 (8 — x) = 11 (x + 2)
6x + 6 + 24 — 3x = 11x + 22
6x — 3x — 11x = 22 — 6 — 24
-8x = -8
25. 7 (3y + 7) + 5 (y — 3) — 2 (y — 8) = 2
21y + 49 + 5y — 15 — 2y + 16 = 2
21y + 5y — 2y = 2 — 49 + 15 — 16
24y = -48
y = -2
26. 4 (5y + 2) — 7 (1 — 2y) + 5 (8 — y) = 128
20y + 8 — 7 + 14y + 40 — 5y = 128
20y + 14y — 5y = 128 — 8 + 7 — 40
29y = 87
y = 3
27. 3 (2z — 1) — 5 (z — 3) + 6 (3z — 4) = 83
6z — 1 — 5z + 15 + 18z — 24 = 83
6z — 5z + 18z = 83 + 1 — 15 + 24
z = 93
28. 4 (a + 2) — 7 (2a — 1) = 30 — 9 (3a — 4)
4a + 8 — 14a + 7 = 30 — 27a + 36
4a — 14a + 27a = 36 + 30 — 8 — 7
17a = 51
a = 3
29. 8 (3y — 1) — 9 (5y — 11) = 30 — 2 (7 — 2y)
24y — 8 — 45y + 99 = 30 — 14 + 4y
24y — 45y — 4y = 14 — 30 + 8 — 99
-25y = -107/-25
30. 10 (8 — 3z) + 11 (z — 4) — 3 (4 — 3z) = 4
80 — 30z + 11z — 44 — 12 + 9z = 4
-30z + 11z + 9z = 4 — 80 + 44 + 12
-10z = -20
z = 2
31. 19 — 8 (7 — 4x) = 5 (8x — 2) — 7 (4x + 1)
19 — 56 + 32x = 40x — 10 — 27x — 7
32x — 40x + 27x = -7 — 10 — 19 + 56
19x = 20/19
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