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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
\(\left\{{}\begin{matrix}\left\{{}\begin{matrix}3x-15=45\Leftrightarrow3x=60\Leftrightarrow x=20\\35-5x=50\Leftrightarrow5x=-15\Leftrightarrow x=-3\end{matrix}\right.\\\left\{{}\begin{matrix}\left(2x-5\right)+17=6\Leftrightarrow2x+5=-11\Leftrightarrow2x=-16\Leftrightarrow x=-8\\10-2\left(4-3x\right)=-4\Leftrightarrow8-6x=14\Leftrightarrow6x=-6\Leftrightarrow x=-1\end{matrix}\right.\\\left\{{}\begin{matrix}-12+3\left(-x+7\right)=-18\Leftrightarrow-3x+21=-6\Leftrightarrow-3x=-27\Leftrightarrow x=9\\24:\left(3x-2\right)=-3\Leftrightarrow3x-2=-8\Leftrightarrow3x=-6\Leftrightarrow x=-2\end{matrix}\right.\\-45:5\left(-3-2x\right)=3\Leftrightarrow-15-10x=-15\Leftrightarrow10x=0\Leftrightarrow x=0\end{matrix}\right.\)
5) - 12 + 3(-x + 7) = -18
3(-x+7) = -18- -12
3(-x+7) = -30
-x+7 = -30 : 3
-x+7 = -10
-x = -10 -7 = -17
Vậy x= 17
6) 24 : (3x – 2) = -3
( 3x - 2) = 24: -3
3x - 2 = -8
3x = -8 +2
3x = -6
x = -6:3 = -2
Vậy x= -2
7) -45 : 5.(-3 – 2x) = 3
5(-3-2x) = -45: 3
5( -3-2x) = -15
-3-2x = -15 :5
-3- 2x = -3
2x = -3--3
2x= 0
Vậy x= 0
\(a,\left(2x-5\right)+17=6\)
\(2x-5=6-17\)
\(2x-5=-11\)
\(2x=-11+5\)
\(2x=-6\)
\(x=-3\)
\(b,10-2.\left(4-3x\right)=-4\)
\(2.\left(4-3x\right)=10+4\)
\(2.\left(4-3x\right)=14\)
\(4-3x=14:2\)
\(4-3x=7\)
\(-3x=7-4\)
\(-3x=3\)
\(x=-1\)
\(c,-12+3.\left(-x+7\right)=18\)
\(3.\left(-x+7\right)=18+12\)
\(3.\left(-x+7\right)=30\)
\(-x+7=30:3\)
\(-x+7=10\)
\(x=7-10\)
\(x=-3\)
\(d,24:\left(3x-2x\right)=-3\)
\(24:x=-3\)
\(x=24:\left(-3\right)\)
\(x=-8\)
\(e,-45:5.\left(-3-2x\right)=3\)
\(-9.\left(-3-2x\right)=3\)
\(27+18x=3\)
\(18x=3-27\)
\(18x=-24\)\
\(x=-\frac{4}{3}\)
a: \(4x^3+12=120\)
=>\(4x^3=108\)
=>\(x^3=27=3^3\)
=>x=3
b: \(\left(x-4\right)^2=64\)
=>\(\left[{}\begin{matrix}x-4=8\\x-4=-8\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=12\\x=-4\end{matrix}\right.\)
c: (x+1)^3-2=5^2
=>\(\left(x+1\right)^3=25+2=27\)
=>x+1=3
=>x=2
d: 136-(x+5)^2=100
=>(x+5)^2=36
=>\(\left[{}\begin{matrix}x+5=6\\x+5=-6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\x=-11\end{matrix}\right.\)
e: \(4^x=16\)
=>\(4^x=4^2\)
=>x=2
f: \(7^x\cdot3-147=0\)
=>\(3\cdot7^x=147\)
=>\(7^x=49\)
=>x=2
g: \(2^{x+3}-15=17\)
=>\(2^{x+3}=32\)
=>x+3=5
=>x=2
h: \(5^{2x-4}\cdot4=10^2\)
=>\(5^{2x-4}=\dfrac{100}{4}=25\)
=>2x-4=2
=>2x=6
=>x=3
i: (32-4x)(7-x)=0
=>(4x-32)(x-7)=0
=>4(x-8)*(x-7)=0
=>(x-8)(x-7)=0
=>\(\left[{}\begin{matrix}x-8=0\\x-7=0\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=8\\x=7\end{matrix}\right.\)
k: (8-x)(10-2x)=0
=>(x-8)(x-5)=0
=>\(\left[{}\begin{matrix}x-8=0\\x-5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=8\\x=5\end{matrix}\right.\)
m: \(3^x+3^{x+1}=108\)
=>\(3^x+3^x\cdot3=108\)
=>\(4\cdot3^x=108\)
=>\(3^x=27\)
=>x=3
n: \(5^{x+2}+5^{x+1}=750\)
=>\(5^x\cdot25+5^x\cdot5=750\)
=>\(5^x\cdot30=750\)
=>\(5^x=25\)
=>x=2
a, (2x - 5) + 17 = 6
=> 2x - 5 + 17 = 6
=> 2x = 6 - 17 + 5
=> 2x = -6
=> x = -3
vậy_
a, (2x - 5) + 17 = 6
2x - 5 = 6 - 17
2x - 5 = -11
2x = -11 + 5
2x = -6
x = -6 : 2 = -3
b) -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