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a, x - 43 = ( 35 - x ) - 48
\(x-43=35-x-48\)
\(x+x=35-48+43\)
\(2x=30\)
\(x=15\)
b, 305 - x + 14 = 48 + ( x - 23 )
\(305-x+14=48+x-23\)
\(-x-x=48-23-14-305\)
\(-2x=-294\)
\(x=147\)
c, ( x - 6 + 85 ) = ( x + 51 ) - 54
\(x-6+85=x+51-54\)
\(x-x=51-54-85+6\)
\(0=-82\)
\(x\in\varnothing\)
d, -( 35 - x ) - ( 37 - x ) = 33 - x
\(-35+x-37+x=33-x\)
\(x+x+x=33+37+35\)
\(3x=105\)
\(x=35\)
e, - 12. ( x - 5 ) + 7 . ( 3 - x ) = 5
\(-12x+60+21-7x=5\)
\(-12x-7x=5-21-60\)
\(-19x=-76\)
\(x=4\)
f, 30. ( x+ 2 ) - 6 . ( x - 5 ) - 24 = 100
\(30x+60-6x+30-24=100\)
\(30x-6x=100+24-30-60\)
\(24x=34\)
\(x=\frac{17}{12}\)
chúc bạn học tốt

a)
\(=\frac{7\cdot7\cdot8\cdot8\cdot9\cdot9\cdot10\cdot10\cdot11\cdot11}{6\cdot8\cdot7\cdot9\cdot8\cdot10\cdot9\cdot11\cdot10\cdot12}\)
\(=\frac{7\cdot11}{6\cdot12}\)
\(=\frac{77}{72}\)
b)
\(=1+\frac{1}{6}+1+\frac{1}{12}+1+\frac{1}{20}+1+\frac{1}{30}+1+\frac{1}{42}+1+\frac{1}{56}\)
\(=6+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}\)
\(=6+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{7}-\frac{1}{8}\)
\(=6+\frac{1}{2}-\frac{1}{8}\)
\(=6+\frac{3}{8}\)
\(=\frac{51}{8}\)
Chia thành...a và b nhé.
Bg
a)Ta có: \(\frac{49}{48}.\frac{64}{63}.\frac{81}{80}.\frac{100}{99}.\frac{121}{120}\)
= \(\frac{49.64.81.100.121}{48.63.80.99.120}\)
= \(\frac{7.7.8.8.9.9.10.10.11.11}{6.8.7.9.8.10.9.11.10.12}\)
= \(\frac{7.11}{6.12}\) (chịt tiêu trên dưới)
= \(\frac{77}{72}\)
b) Ta có: \(\frac{7}{6}+\frac{13}{12}+\frac{21}{20}+\frac{31}{30}+\frac{43}{42}+\frac{57}{56}\)
Có 6 số hạng (đếm)
= \(1+\frac{1}{6}+1+\frac{1}{12}+1+\frac{1}{20}+1+\frac{1}{30}+1+\frac{1}{42}+1+\frac{1}{56}\)
= \(1+1+...+1+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}\)
= \(1.6+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}\)
= \(6+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}\)
= \(6+\frac{1}{2}-\frac{1}{8}\)
= \(\frac{13}{2}-\frac{1}{8}\)
= \(\frac{51}{8}\)
Hơi dài....

\(d)\)\(43.78-43.48+30.80-30.23\)
\(=\)\(43.\left(78-48\right)+30.\left(80-23\right)\)
\(=\)\(43.30+30.57\)
\(=\)\(30.\left(43+57\right)\)
\(=\)\(30.100\)
\(=\)\(3000\)
\(43\times78-43\times48+30\times80-30\times23\)
\(=43\left(78-48\right)+30\times80-30\times23\)
\(=43\times30+30\times80-30\times23\)
\(=30\left(43+80-23\right)=30.100=3000\)

1,x-43=(35-x)-48
=>x-43=35-x-48
=>x+x=35-48+43
=>2x=30
=>x=15
Vậy x=15
2,305-x+14=48+(x-23)
=>305-x+14=48+x-23
=>305+14+23-48=x+x
=>294=2x
=>x=294:2
=>x=147
3,-(x-6+85)=(x+51)-54
=>-x+6-85=x+51-54
=>6-85-51+54=x+x
=>-76=2x
=>x=(-76):2
=>x=-38
4,-(35-x)-(37-x)=33-x
=>-35+x-37+x=33-x
=>-35+(-37)+(-33)=-x-x-x
=>-105=-3x
=>x=(-105):(-3)
=>x=35
5,13-\(|x|=|-4|\)
=>13-\(|x|\)=4
=>13-4=\(|x|\)
=>9=\(|x|\)
=>x=9 hoặc x=-9
5) 13 - |x| = |-4|
=> 13 - |x| = 4
|x| = 13-4 = 9
Vậy x=9 hoặc x=-9
4) - (35-x) - (37-x) = 33-x
<=>-35 + x - 37 + x = 33-x
<=> -35 - 37 + x + x = 33-x
-72 + 2x = 33 - x
Theo quy tắc chuyển vế, ta có
-72 - 33 = - 2x + x
-105 = - (2x+x)
-105 = -3x
=> x = (-105) : (-3) = 35
Vậy x=35
Mk chỉ làm đc hai câu thôi. Mk có việc nên ko thể làm tiếp đc cho bạn nữa nha...

2 . l x - 1 l - 60 = - 40
2 . l x - 1 l = - 40 + 60
2 . l x - 1 l = 20
l x - 1 l = 20 : 2
l x - 1 l = 10
=> có 2 trường hợp x = - 10 và x = 10
trường hợp 1 :
x - 1 = 10
x = 10 + 1
x = 11
trường hợp 2 :
x - 1 = - 10
x = -10 + 1
= -9
a) x - 43 = ( 35 - x ) - 48
x - 43 = 35 - x - 48
x - 43 = 35 - 48 - x
x - 43 = -13 - x
=> 2x = -13 - 43
2x = -56
x = -56 : 2
x = -28
b) 2.| x - 1 | - 60 = -40
2 | x- 1|= -40 + 60
2 | x - 1 | = 20
| x - 1 | = 20 : 2
| x - 1 | = 10
=> x - 1 = 10 hoặc x - 1 = -10
x = 10 + 1 hoặc x = -10 + 1
x = 11 hoặc x = -9
=> x = 11 hoạc x = -9

Ta có: \(\frac{7}{9}+\frac{16}{48}=\frac{10}{9}=1\frac{1}{9}\)
\(\frac{43}{8}-0,125=\frac{43}{8}-\frac{1}{8}=\frac{21}{4}=5\frac{1}{4}\)
Vì: \(1\frac{1}{9}< 2< 3< 4< 5< 5\frac{1}{4}\)
=> x= { 2;3;4;5}

\(\frac{7}{9}+\frac{16}{48}< x< \frac{43}{8}+0.125\)
\(\frac{10}{9}< x< \frac{11}{2}\)
\(1.11< x< 5.5\)
Vậy \(x=2;3;4;5.\)

\(x-43=35-x-48\)
\(x+x=43+35-48=30\)
2.x=30=> x=15
2) -x+6-85=x+51-54
-x-79=x-3
2x=76=> x=38
3)\(\orbr{\begin{cases}-7-x-3=-3\Rightarrow x=-7\\-7-x-3=3\Rightarrow x=-13\end{cases}}\)
\(x-43=\left(30-x\right)-48\\ x-43=30-x-48\\ x+x=30-43+48\\ 2x=25\\ x=\dfrac{25}{2}\)
x-43 = ( 30-x ) -48
x-43 = 30-x-48
x+x = 30-48+43
2x = 25
x = \(\dfrac{25}{2}\)= 12,5