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Bài 1 Tìm x biết:
a)65-(29-x)=32
65 -29+x=31
x=31-65+29
x=-5
b)(x+5)-(x+23)=x-34
x+5 -x +23 = x-34
(x-x)+ (23+5)=x-34
0+28=x-34
28=x-34
28+34=x
62=x
=>x=62
c)(16-x)+(x-38)=x+44
16-x+x-38=x+44
-x+x-x=44-16+38
-x=36
=>x=-36
d)-12+3(-x+7)=-18
3(-x+7)=-18+12
3(-x+7)=-6
-x+7=-6:3
-x+7=-2
-x=-2-7
-x=-9
=>x=9
Baif 2
d)|7-x|=10
=> \(\left[{}\begin{matrix}7-x=10\\7-x=-10\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=7-10\\x=-10-7\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=-3\\x=-17\end{matrix}\right.\)
e)(x-6).(7-2x)=0
\(\Rightarrow\)\(\left[{}\begin{matrix}x-6=0\\7-2x=0\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=0+6\\2x=7\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=6\\x=7:2\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=6\\x=3,5\end{matrix}\right.\)
f)(9-x).(2x+8)=0
\(\Rightarrow\)\(\left[{}\begin{matrix}9-x=0\\2x+8=0\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=0+9\\2x=-8\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=9\\x=-4\end{matrix}\right.\)
g)x(-x+8).(-3x-18)=0
\(\Rightarrow\) \(\left[{}\begin{matrix}x=0\\-x+8=0\\-3x-18=0\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=0\\-x=0+8\\-3x=0+18\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=0\\-x=8\\-3x=18\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=0\\x=-8\\x=18:\left(-3\right)\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=0\\x=-8\\x=-6\end{matrix}\right.\)
h)(-x+8).(x-54).(-24-x)=0
\(\Rightarrow\)\(\left[{}\begin{matrix}-x+8=0\\x-54=0\\-24-x=0\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}-x=8\\x=0+54\\-x=0+24\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=8\\x=54\\-x=24\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=8\\x=54\\x=-24\end{matrix}\right.\)

a) 45 - 3x = 15 b) 4x - 20 = 32 c) 2x : 16 = 14 d) 0 : 5x = 0
3x = 45 - 15 4x = 32 + 20 2x = 14 x 16 Vì 0 chia cho bất cứ số nào
3x = 30 4x = 52 2x = 224 cũng bằng 0 nên suy ra x thuộc Z
x = 30 : 3 x = 52 : 4 x = 224 : 2
x = 10 x = 13 x = 112
e) 3240 : 9x = 18 f) [ 1824 - ( 526 + 2x ) ] + 318 =1420 Câu g) tương tự như câu f)
9x = 3240 : 18 1824 - (526 + 2x) = 1420 - 318
9x = 180 1824 - (526 + 2x) = 1102
x = 180 : 90 526 + 2x = 1824 - 1102
x = 20 526 + 2x = 722
2x = 722 - 526
2x = 196
x = 196 : 2
x = 98

a) ( 4x - 2 )x + 5 = 0
=> \(\hept{\begin{cases}4x-2=0\\x+5=0\end{cases}}\)
+ TH1 : 4x - 2 = 0
4x = 2
x = 0,5 ( vô lí nếu x c Z )
+ TH2 : x + 5 = 0
x = -5
=> x c \(\hept{ }\)0,5 ; -5 ( đóng ngoặc nhọn )
b) 2x - 9 = -8 -9
2x - 9 = -17
2x = -8
x = -4
c) 5( 3x + 8 ) - 7 . ( 2x + 3 ) = 16
15x + 40 - ( 14x + 21 ) = 16
15x + 40 - 14x - 24 = 16
( 15x -14x ) + (40 - 24 ) = 16
x + 16 = 16
x = 0
Xin lỗi phần c mk hơi sai sót !!! Mk sẽ làm lại phần c :
c) 5( 3x + 8 ) - 7( 2x + 3 ) = 16
15x + 40 - ( 14x + 21 ) = 16
15x + 40 - 14x - 21 = 16
( 15x - 14x ) + ( 40 - 21 ) = 16
x + 19 = 16
=> x = -3

1)=>3(x-5)(2x+9)+3(x-5)=0=>(x-5)(6x+30)
=>x-5=0=>x=5
6x+30=0=>x=-5
2)=>x^2-16=0=>x=+-4
12-4x=0=>x=3
3)=>9-x^2=0=>x=+-3
4x-8=0=>x=2
4)=>8-x^3=0=>x=3
5^x-125=0=>x=2
5)=>2^x.2^x=8=>2^2x=8=>2x=3=>x=1,5

a) \(\left(4x-16\right)\left(x-8\right)=0\)
\(4\left(x-4\right)\left(x-8\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-4=0\\x-8=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=4\\x=8\end{cases}}\)
vay \(\orbr{\begin{cases}x=4\\x=8\end{cases}}\)
b) \(\left(3x-5\right)\left(2x-18\right)=0\)
\(\left(3x-5\right).2.\left(x-9\right)=0\)
\(\Rightarrow\orbr{\begin{cases}3x-5=0\\x-9=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{5}{3}\\x=9\end{cases}}\)
vay \(\orbr{\begin{cases}x=\frac{5}{3}\\x=9\end{cases}}\)