(12x-43)83=4×84
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a: =>12x-64=32
=>12x=96
=>x=8
b: =>x-1=5
=>x=6
c: =>2^x*3=96
=>2^x=32
=>x=5

a) x-(-25+x)=13-x
⇒ x+25-x=13-x
⇒ 13-x=25
⇒ x= -12
b) 15-(30+x)=x-(27-l-8l)
⇒ 15-30-x=x-(27-8)
⇒ -15-x=x-19
⇒ -x-x=-19+15
⇒ -2x+4=0
⇒ -2x=-4
⇒ x=2
c) (12x-43).83=4.84
⇒ 12x.83-43.83=4.84
⇒ 6144x-32768=16384
⇒ 6144x=49152
⇒ x=8
a: Ta có: \(x-\left(-25+x\right)=13-x\)
\(\Leftrightarrow13-x=25\)
hay x=-12
b: Ta có: \(15-\left(30+x\right)=x-\left(27-\left|-8\right|\right)\)
\(\Leftrightarrow-15-x=x-19\)
\(\Leftrightarrow-2x=-4\)
hay x=2
c: Ta có: \(\left(12x-4^3\right)\cdot8^3=4\cdot8^4\)
\(\Leftrightarrow\left(12x-64\right)\cdot512=16384\)
\(\Leftrightarrow12x-64=32\)
hay x=8

<=>\(\left(x+2\right)^2-\left(x-2\right)^3=-\left(x-6\right)\left(x^2-x+2\right)\)
=>\(12x\left(x-1\right)-8=4\left(3x^2-3x-2\right)\)
=>\(-\left(x-6\right)\left(x^2-x+2\right)=4\left(3x^2-3x-2\right)\)
=>x=-5;-2 hoặc 2
<=>\(\frac{x+14}{86}+\frac{x+15}{85}+\frac{x+16}{84}+\frac{x+17}{83}+\frac{x+116}{4}=\frac{1894289\left(x+100\right)}{6370665}\)
=>\(\frac{1894289\left(x+100\right)}{6370665}=0\)(rút gọn)
=>\(\frac{1894289x}{6370665}+\frac{37885780}{1274133}=0\)
=>\(\frac{1894289\left(x+100\right)}{6370665}=0\)(giải PT này )
=>x=-100

\(\Leftrightarrow\dfrac{x+100}{86}+\dfrac{x+100}{85}+\dfrac{x+100}{84}+\dfrac{x+100}{83}=0\)
=>x+100=0
hay x=-100

2012.2012-2011.2013
=(2011+1).2012-2011.(2012+1)
=2011.2012+2012-2011.2012-2011
=(2011.2012-2011.2012)+(2012-2011)
=1
(4+8+12+...+84)-(3+7+11+…+83)
=4+8+12+…+84-3-7-11-83
=(4-3)+(8-7)+(12-11)+…+(84-83)
=1+1+1+…+1
Từ 4 đến 84 có: (84-4):4+1=21(số)
=>(4+8+12+...+84)-(3+7+11+…+83)
=1.21
=21

\(\left(12x-43\right)\times83=4\times84\)
\(\Leftrightarrow12x-43=\dfrac{4\times84}{83}\)
\(\Leftrightarrow12x-43=\dfrac{336}{83}\)
\(\Leftrightarrow12x=\dfrac{3905}{83}\Leftrightarrow x=\dfrac{3905}{996}\)
Mình cũng làm luôn nhé !
( 12x - 64 ) 512 = 4 x 4096
( 12x - 64) 512 = 16384
( 12x - 64) = 16384 : 512
(12x - 64 ) = 32
12x = 32 + 64
12x = 96
x = 96 :12
x = 8
Vậy x = 8