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\(a,12\left(x-1\right)=0\\ x-1=0\\ x=1\\ b,45+5\left(x-3\right)=70\\ 5\left(x-3\right)=25\\ x-3=5\\ x=8\\ c,3.x-18:2=12\\ 3.x-9=12\\ 3.x=21\\ x=7\)
a, 117 - \(x\) = 28 - (-7)
117 - \(x\) = 28 + 7
117 - \(x\) = 35
\(x\) = 117 - 35
\(x\) = 82
b, \(x\) - (-38 - 2\(x\)) = (-3) - 8 + 2\(x\)
\(x\) + 38 + 2\(x\) = - 11 + 2\(x\)
3\(x\) + 38 = - 11 + 2\(x\)
3\(x\) - 2\(x\) = - 11 - 38
\(x\) = - 49
1) 3x = 45 + 15 = 60
x = 60 : 3 = 20
2) 5x = 50 - 35 = 15
x = 15 : 5 = 3
3) (2x - 5) + 17 = 6
2x - 5 = 6 - 17
2x - 5 = -11
2x = -11 + 5
2x = -6
x = -6 : 2 = -3
4) 10 - 2(4 -3x) = -4
2(4 - 3x) = -4 - 10 = -14
4 - 3x = -14 : 2 = -7
3x = -7 - 4 = -18
x = -18 : 3 = -6
\(\left\{{}\begin{matrix}\left\{{}\begin{matrix}3x-15=45\Leftrightarrow3x=60\Leftrightarrow x=20\\35-5x=50\Leftrightarrow5x=-15\Leftrightarrow x=-3\end{matrix}\right.\\\left\{{}\begin{matrix}\left(2x-5\right)+17=6\Leftrightarrow2x+5=-11\Leftrightarrow2x=-16\Leftrightarrow x=-8\\10-2\left(4-3x\right)=-4\Leftrightarrow8-6x=14\Leftrightarrow6x=-6\Leftrightarrow x=-1\end{matrix}\right.\\\left\{{}\begin{matrix}-12+3\left(-x+7\right)=-18\Leftrightarrow-3x+21=-6\Leftrightarrow-3x=-27\Leftrightarrow x=9\\24:\left(3x-2\right)=-3\Leftrightarrow3x-2=-8\Leftrightarrow3x=-6\Leftrightarrow x=-2\end{matrix}\right.\\-45:5\left(-3-2x\right)=3\Leftrightarrow-15-10x=-15\Leftrightarrow10x=0\Leftrightarrow x=0\end{matrix}\right.\)
|7x-3|-12=45-100
<=> |7x-3|-12=-55
<=> |7x-3|=-43
=> PT vô nghiệm vì |7x-3| >=0 với mọi x
|2x-7|-|7-5x|=0
<=> |2x-7|=|7-5x|
<=> \(\orbr{\begin{cases}2x-7=7-5x\\2x-7=-7+5x\end{cases}\Leftrightarrow\orbr{\begin{cases}2x+5x=7+7\\2x-5x=-7+7\end{cases}\Leftrightarrow}\orbr{\begin{cases}7x=14\\-3x=0\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=2\\x=0\end{cases}}}\)
Vậy x=2; x=0
a: =>x+38+2x=-3-8+2x
=>3x+38=2x-11
=>x=-49
b: \(\Leftrightarrow65+x-15-5x=12-5x\)
=>-4x+50=-5x+12
=>x=-38
c: \(\Leftrightarrow3x+12-7x+21=-3-5x-2=-5x-5\)
=>-4x+33=-5x-5
=>x=-38
d: \(\Leftrightarrow-123+2x+23=x-120\)
=>2x-100=x-120
=>x=-20
e: =>-45+25+5x=16-x
=>5x-20=-x+16
=>6x=36
=>x=6
a: 3x=81
nên x=27
b: \(5\cdot4^x=80\)
\(\Leftrightarrow4^x=16\)
hay x=2
c: \(2^x=4^5:4^3\)
\(\Leftrightarrow2^x=2^4\)
hay x=4
a, 5x = 201 - 6 = 195
x = 195 : 5 = 39
b, 135 - 2x = 87
2x = 135 - 87 = 48
x = 48 : 2 = 24
c, 45 - ( x - 17 ) : 3 = 38
( x - 17 ) : 3 = 45 - 38 =7
x - 17 = 7 . 3 = 21
x = 21 + 17 = 38
\(-45:5\cdot\left(-3-2x\right)=3\)
\(\Rightarrow-9\cdot\left(-3-2x\right)=3\)
\(\Rightarrow-3-2x=-9:3\)
\(\Rightarrow-3-2x=-3\)
\(\Rightarrow-2x=-3+3\)
\(\Rightarrow-2x=0\)
\(\Rightarrow x=0:\left(-2\right)\)
\(\Rightarrow x=0\)