1. 63+7x 0

63+7x-630-63

7x≥-63

7x:7≥-63:7

x≥-9

2. 7x-4x<-24

(7-4)x

3x<-24

3x : 3 < -24 : 3

x<-24:3

x<-8

3. 15x+12-7x>10x

15x-7x

(15-7x)

8x+12>10x

8x+12-12>10x-12

8x>10x-12

8x-10x>-12

(8-10)x

-2x>-12

x<6

4. 5x-22+3x<-46

(5+3)x

8x-22<-46

8x-22+22<-46+22

8x<-46+22

-(46-22)

8x<-24

8x : 8 < 24 : 8

x<-24:8

x<-3

5. -(4 + 6x) < -3x+8

-6x-4<-3x+8

-6x+3x-4<-3x+3x+8

-6x+3x-4<8

-6x+3x-4+4<8+4

-6x+3x<8+4

-6x+3x

-(6+3)x

-3x<12

-3x : (-3) > 12 : (-3)

x>12 : (-3)

x>-12 : 3

x>-4

6. 6x-(8+2x)≤5+4x-13

6x-8-2x≤-8+4x

5-13

-(13-5)

-8

6x-2x

(6-2)x

4x

4x-8≤-8+4x

x∈R

7. -(9x+36) ≥ 9(4-x)

-9x-36≥9(4-x)

9(4-x)

9×4-9x

36-9x

-9x-36≥36-9x

-36≥36

x∈∅

8. 2(15-2(7x-3)) ≤ 7(8-3x)

-2(7x-3)

-14x-2×(-3)

-14x+6

7(8-3x)

7×8-7×3x

56-7×3x

56-21x

2(15-14x+6)≤56-21x

2(21-14x)

2×21-2×14x

42-2×14x

42-28x

42-28x≤56-21x

-28x+21x+42≤-21x+21x+56

-28x+21x+42≤56

-28x+21x≤56-42

-28x+21+42-42≤56-42

-28x+21x≤56-42

-28x+21x

(-28+21)x

-7x≤56-42

-7x≤14

9. -8-2(8x-9-4x)>3(3x+8-9x)+12x

8x-4x

(8-4)x

3x-9x

(3-9)x

-8-8x+18>3(-6x+8)+12x

-2(4x-9)

-2×4x-2×(-9)

-8x+18

-8-8x+18>-18x+24+12x

3(-6x+8)

-3×6x+3×8

-18x+24

-8+18

+(18-8)

10-8x>-18x+24+12x

-18x+12x

(-18+12)x

10-8x>-6x+24

-8x+6x+10>24

-8x+6x>24-10

-8x+6x>24-10

-8x+6x

(-8+6)x

-2x>24-10

-2x>14

10. -7x+2(6-4x)+4≥9(3x-1)-5(8x-3)

-7x+2×24x+4≥-13x+6

-7x+48x+4≥-13x+6

41x+4≥-13x+6

41x+13x≥6-4

52x≥2

x≥1/27