\(30+\left\{96-3.\left[54-2\left(3^2+6\right)\right]\right\}.x=78\)

\(30+\left\{96-3.\left[56-2.15\right]\right\}.x=78\)

\(30+\left\{96-3.\left[56-30\right]\right\}.x=78\)

\(30+\left\{96-3.26\right\}.x=78\)

\(30+\left\{96-78\right\}.x=78\)

\(30+18.x=78\)

\(\Rightarrow18.x=48\)

\(\Rightarrow x=\frac{8}{3}\)

học tốt

\(30+\left\{96-3.\left[54-2.\left(3^{2+6}\right)\right]\right\}.x=79\)

\(30+\left\{96-3.\left[54-2.6561\right]\right\}.x=79\)

\(30+\left\{96-3.\left[54-13122\right]\right\}.x=79\)

\(30+\left\{96-3.-13068\right\}.x=79\)

\(30+\left\{96--39204\right\}.x=79\)

\(30+39300.x=79\)

\(39300.x=79-30\)

\(39300.x=49\)

\(\Rightarrow x=\frac{39300}{49}\)

12x - 10x + 54 = 86
\(\Rightarrow\)12x - 10x = 86 - 54
\(\Rightarrow\)2x = 32 
\(\Rightarrow\)x = 32 : 2
\(\Rightarrow\) x= 16
 

12x-10x+54=86

=(12-10)x+54=86

(12-10)x      =32

     2x            =32

       x            =32chia2

       x            =16

\(23\cdot189-23\cdot88-23\)

\(23\left(189-88-1\right)\)

\(23\cdot100\)

\(2300\)

\(96:\left\{3\left[17-\left(6^2-\left|-27\right|\right)\right]\right\}\)

\(96\left\{3\left[17-9\right]\right\}\)

\(96:24\)

\(=4\)

\(23\cdot189-23.88-23\)

\(=23\left(189-88-1\right)\)

\(=2300\)

\(a.x-143=57\)

\(x=200\)

\(b.\left(8x-12\right):4=3^3\)

\(8x-12=27.4\)

\(8x-12=108\)

\(8x=120\)

\(x=15\)

\(d.10+2x=4^2\)

\(2x=16-10\)

\(2x=6\)

\(x=3\)

a) 716-(x-143)=659

<=>x-143=57

<=>x=57+143

<=>x=200

b) [(8x-12):4].3³=3⁶

<=>(8x-12):4=3³

<=>8x-12=27.4

<=>8x-12=108

<=>8x=120

<=>x=5

c) -2<|x|≤1, x thuộc Z

Vì -2<|x|≤1

=>|x| thuộc {-1;0;1}

+)Với |x|=-1=>Vô lí

+)Với |x|=0=>x=0(tm)

+)Với |x|=1=>x=-1;1(tm) 

Vậy x thuộc {-1;1;0}

d) 10+2x=4⁵:4³

<=>10+2x=16

<=>2x=6

<=>x=3

e) 4^x+1+4⁰=65

<=>4^x+1+1=65

<=>4^x+1=64

<=>4^x+1=4³

<=>x+1=3

<=>x=2

g) 96-2(x+1)=-42

<=>2(x+1)=96+42

<=>2(x+1)=138

<=>x+1=69

<=>x=68

h) 4x-20=2⁵:2²

<=>4x-20=2³

<=>4x=8+20

<=>4x=28

<=>x=7

k) 8x-75=5x+21

<=>8x-5x=75+21

<=>3x=96

<=>x=32

i) [(8x-14):2-2].31=341

<=>(8x-14):2-2=11

<=>(8x-14):2=13

<=>8x-14=26

<=>8x=40

<=>x=5