1. 63+7x 
0
63+7x-630-63
7x≥-63
7x:7≥-63:7
x≥-9
2. 7x-4x<-24</p>
(7-4)x
3x<-24</p>
3x : 3 < -24 : 3
x<-24:3</p>
x<-8</p>
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</p>
4. 5x-22+3x<-46 </p>
(5+3)x
8x-22<-46</p>
8x-22+22<-46+22</p>
8x<-46+22</p>
-(46-22)
8x<-24</p>
8x : 8 < 24 : 8
x<-24:8</p>
x<-3</p>
5. -(4 + 6x) < -3x+8
-6x-4<-3x+8</p>
-6x+3x-4<-3x+3x+8</p>
-6x+3x-4<8</p>
-6x+3x-4+4<8+4</p>
-6x+3x<8+4</p>
-6x+3x
-(6+3)x
-3x<12</p>
-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