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a) 150 : [17 - (2x - 3)] = 350
=> 17 - (2x - 3) = \(\frac{150}{350}=\frac{3}{7}\)
=> 2x - 3 = \(17-\frac{3}{7}=\frac{116}{7}\)
=> 2x = \(\frac{116}{7}+3\)
=> 2x = \(\frac{137}{7}\)
=> x = \(\frac{137}{7}:2=\frac{137}{14}\)
b) 4 . [105 - (x - 9)] - 486 = 0
=> 4. [105 - (x - 9)] = 486
=> 105 - (x - 9) = 243/2
=> x - 9 = \(105-\frac{243}{2}=-\frac{33}{2}\)
=> x = \(-\frac{33}{2}+9=-\frac{15}{2}\)
c) 1000 - 2{600 - 4.[198 - 7.(21 - 7)]}.x = 200
=> 1000 - 2{600 - 4.[198 - 7.14]}.x = 200
=> 1000 - 2{600 - 4.[198 - 98].x = 200
=> 1000 - 2{600 - 4.100}.x = 200
=> 1000 - 2{600 -400}.x = 200
=> 1000 - 2.200.x = 200
=> 2.200.x = 800
=> 400.x = 800
=> x = 2
Câu 2 :
a) 350 : [19 - (7x - 3)] = 350
=> 19 - (7x - 3) = 1
=> 7x - 3 = 18
=> 7x = 21
=> x = 3
b) 7.[109 - (x - 9)] - 420 = 0
=> 7.[109 - (x - 9)] = 420
=> 109 - (x - 9) = 60
=> x - 9 = 49
=> x = 49 + 9 = 58
c) 254 - 2{200 - 4.[90 - 7.(19 - 9)]}.x = 54
=> 254 - 2{200 - 4.[90 - 7.10]}.x = 54
=> 254 - 2{200 - 4[90 - 70]} . x= 54
=> 254 - 2{200 - 4.20} . x = 54
=> 254 - 2{200 - 80}.x = 54
=> 254 - 2.120 . x= 54
=> 2.120.x = 200
=> 240.x = 200
=> \(x=\frac{5}{6}\)

a: \(=-25\cdot4-27=-100-27=-127\)
b: \(=-65:\left(-13\right)-25\cdot4=5-100=-95\)
c: \(=100\cdot\left(-47\right)+53\cdot\left(-100\right)=100\cdot\left(-100\right)=-10000\)
d: \(=\left[\left(-3\right)^{13}:3^{10}-73\right]:\left(-5\right)^2-14\)
\(=\left(-100\right):25-14=-4-14=-18\)

1) \(2^x-15=17\)
\(\Leftrightarrow2^x=32=2^5\)
\(\Rightarrow x=5\)
2) \(\left(7x-11\right)^3=25\cdot5^2+200\)
\(\Leftrightarrow\left(7x-11\right)^3=825\)
\(\Leftrightarrow7x-11=\sqrt[3]{825}\)
\(\Leftrightarrow7x=11+\sqrt[3]{825}\)
\(\Rightarrow x=\frac{11+\sqrt[3]{825}}{7}\)
3) \(\left(x+1\right)^{100}-3\left(x+1\right)^{99}=0\)
\(\Leftrightarrow\left(x+1\right)^{99}\left(x-2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left(x+1\right)^{99}=0\\x-2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=-1\\x=2\end{cases}}\)
4) \(4x+5\left(x+3\right)=105\)
\(\Leftrightarrow9x+15=105\)
\(\Leftrightarrow9x=90\)
\(\Rightarrow x=10\)
5) \(5\cdot\left(x-2\right)+10\left(x+3\right)=170\)
\(\Leftrightarrow5\left[x-2+2\left(x+3\right)\right]=170\)
\(\Leftrightarrow3x+4=34\)
\(\Leftrightarrow3x=30\)
\(\Rightarrow x=10\)

a) => 22 + 23 + x = 21 +24
=> 50 +x = 45
=> x = 45 - 50
=> x = -5
tíc mình nha

\(a,\left(3x+5\right)+105=200\)
\(3x+5=95\)
\(3x=90\)
\(x=90:3\)
\(x=30\)
\(b,\left(x-4\right).\left(3x-15\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-4=0\\3x-15=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=4\\x=5\end{cases}}\)
\(c,\left(72000+18000\right)-\left(3x+3000\right)=1200\)
\(90000-\left(3x+3000\right)=1200\)
\(3x+3000=88800\)
\(3x=85800\)
\(x=28600\)
\(d,\left[3.\left(2+x\right):7\right].4=120\)
\(3.\left(2+x\right):7=30\)
\(3.\left(2+x\right)=210\)
\(2+x=70\)
\(x=68\)
\(e,2480-4710:3+\left[200-\left(x-5\right)\right]=1010\)
\(2480-1570+\left(200-x+5\right)=1010\)
\(910+\left(205-x\right)=1010\)
\(205-x=100\)
\(x=105\)

Ta làm vế kia trước:
\(\left(\frac{3}{5}+0,415+\frac{1}{200}\right):0,01=\left(\frac{3}{5}+\frac{83}{200}+\frac{1}{200}\right):0,01\)
\(=\left(\frac{120}{200}+\frac{83}{200}+\frac{1}{200}\right):0,01\)
\(=\frac{204}{200}:\frac{1}{100}=\frac{51}{50}.100=102\)
=> \(\left(\frac{1}{12}+\frac{19}{6}-30,75\right).x-8=102\)
\(\left(\frac{1}{12}+\frac{19}{6}-\frac{123}{4}\right).x=102+8=110\)
\(\left(\frac{1}{12}+\frac{38}{12}-\frac{369}{12}\right).x=110\)
\(-\frac{330}{12}.x=110\)
\(-\frac{55}{2}.x=110\)
\(x=110:-\frac{55}{2}=110.-\frac{2}{55}=-4\)
**** CHO MK NHA , TKS ^^

`5 + x + 19 + 28 + 105 = 200`
`=> x + (5 + 19 + 28 + 105) = 200`
`=> x + 157 = 200`
`=> x = 200 - 157`
`=> x = 43`
Vậy ...
5 + x + 19 + 28 + 105 = 200
x = 200 - ( 5 + 19 + 28 + 105 )
x = 200 - 157
x = 43.