1.

a) 12x + (13x – 19) – (11x – 15) = 25 – (17 – 13x)

b) (3x + 7) – 6 = 12x – (x + 4) – (4x – 5)

c) (5x – 3 ) – (2x – 4) = – (x + 3) – (x + 5) + (x + 3)

d) 12 – (5x + 8) – (8x – 12) = 14x – 25 – (3x – 8) + (7x + 2)

e) –(3x – 5) – (7x – 24) = 3 + (x + 1) – (2x – 7)

f) 12x – (3x + 8) + (39 – 5x) = 14 + (25x – 8) – (41 – x)

2.

a) 7x – (2x – 9) + (3x + 8) – (5x + 6) = 5

b) (4x – 5) – 6 = 12x – (x + 4) – (3x + 7)

c) 14x + (11x – 19) – (13x – 15) = 25 – (17 – 15x)

d) 26x – (14 + 19x) + (25 + 21x) = 29 – (–23x + 18)

e) 17 – (13 – 9x) + (16x – 9) = (15x – 22) – (7 – 4x)

f) 12 – (16 – 15x) + (11 – 9x) = (25 – 19x) – (13 – 23x)

3.

a) 7(x – 2) = 49

b) 7(5x + 2) + 9 = 58

c) 15(8x – 24) = 120

d) 6(3x – 25) = 12

e) 12(5x – 2) = 48 + 12x

f) 3(4x + 18) = 6x + 108

4.

a) (3x + 6)2 = 3(4x - 2)

b) (3x + 5)2 = (2x - 1)4

c) 11(x + 2) = 7(2x – 2)

d) 9(3x – 11) = 4(5x – 9)

e) (10 - 2x)3 = (3x + 9)2

f) 5(2x + 4) = 2(4x + 6)

5.

a) (20 + x)(20 – x) = (x + 2)(46 – x)

b) (x + 5)(5 – x) = (12 + x)(4 – x) + 1

c) (x – 5)(x + 8) = (x – 2)(x + 1) + 6

d) (x + 12)(x + 5) = (x – 8)(x + 7) – 10

e) (x – 8)(x – 15) = (x – 8)(x – 25)

f) (x + 9)(x – 17) = (x – 5)(x – 10)

6.

a) (x +2)(x – 3) = x(x – 2)

b) (2x + 4)(2x – 5) = (4x – 3)(x + 2)

c) (2x – 4)(3 – x) = (x + 4)(2 – 2x)

d) x(3x + 2) = (3x – 6)(x + 2)

e) (x – 2)(x + 5) = (x + 6)(x – 1)

f) (x – 2)(2x + 3) = (4 – x)(5 – 2x) + 1