a) 2³.(20 - 2x) = 4.2⁵

8.(20 - 2x) = 4.32

8.(20 - 2x) = 128

20 - 2x = 128 : 8

20 - 2x = 16

2x = 20 - 16

2x = 4

x = 4 : 2

x = 2

b) 3²⁺ˣ = 81

3²⁺ˣ = 3⁴

2 + x = 4

x = 4 - 2

x = 2

a) 162 : 𝑥 + 216 : 𝑥 = 6

(162 + 216) : x = 6

378 : x = 6

x = 378 : 6

x = 63

b) 602 : x + 123 x 2 = 253

602 : x + 246 = 253

602 : x = 253 - 246

602 : x = 7

x = 602 : 7

x = 86

c) 486 : x - 126 :x = 6

(486-126) : x = 6

360 : x = 6

x = 360 : 6

x = 60

d) 725 : x + 175 : x = 5

(725 + 175) : x = 5

900 : x = 5

x = 900 : 5

x = 180

a)\(162:x+216:x=6\)

⇔\(\left(162+216\right):x=6\)

⇔\(378:x=6\)

⇔\(x=63\)

b)\(602:x+123.2=253\)

⇔\(602:x+246=253\)

⇔\(602:x=7\)

⇔\(x=86\)

c)\(486:x-126:x=6\)

⇔\(\left(486-126\right):x=6\)

⇔\(360:x=6\)

⇔\(x=60\)

d)\(725:x+175:x=5\)

⇔\(\left(725+175\right):x=5\)

⇔\(900:x=5\)

⇔\(x=180\)

\(a.162:x+216:x=6\)                    \(b.602:x+123x2=253\)

\(\left(162+216\right):x=6\)                            \(602:x+246=253\)

\(378:x=6\)                                         \(602:x=253-246\)

\(x=378:6=63\)                                 \(602:x=7\)

                                                            \(x=602:7=86\)

\(c.486:x-126:x=6\)                          \(d.725:x+175:x=5\)

\(\left(486-126\right):x=6\)                              \(\left(725+175\right):x=5\)

\(360:x=6\)                                            \(900:x=5\)

\(x=360:6=60\)                                    \(x=900:5=180\)

a) 162 : x + 216 : x = 6

    (162 + 216) : x = 6

         378        : x = 6

                         x = 378 : 6

                         x = 63

b) 602 : x + 123 x 2 = 253

    602 : x + 246 = 253

    602 : x = 253 - 246

    602 : x = 7

             x = 602 : 7

             x = 86

c) 486 : x - 126 :x = 6

    (486 - 126) : x = 6

          360      : x = 6

                        x = 360 : 6

                        x = 60

d) 725 : x + 175 : x = 5 

   (725 + 175) : x = 5

         900       : x = 5

                        x = 900 : 5

                        x = 180

Học tốt !

a)  2x-3=-x+6

2x - 3 + x - 6 =0

3x -9 = 0

3x = 9

x = 9 : 3

x= 3

c/ \(\left(-12x-4^3\right).8^3=4.8^4\)

\(\left(-12x-64\right).512=16384\)

\(-12x-64=\dfrac{16384}{512}=32\)

\(-12x=32+64=96\)

\(x=\dfrac{96}{\left(-12\right)}=-8\)

a,   2x-3=-x+6

\(\Leftrightarrow\)2x-3+x-6=0

\(\Leftrightarrow\)3x-9=0

\(\Leftrightarrow\)3x=9

\(\Leftrightarrow\)x=3

a) Ta có: \(2x-3=-x+6\)

\(\Leftrightarrow2x+x=6+3\)

\(\Leftrightarrow3x=9\)

hay x=3

Vậy: x=3

b) Ta có: \(\left|2x-7\right|+2=13\)

\(\Leftrightarrow\left|2x-7\right|=11\)

\(\Leftrightarrow\left[{}\begin{matrix}2x-7=11\\2x-7=-11\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=18\\2x=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=9\\x=-2\end{matrix}\right.\)

Vậy: \(x\in\left\{9;-2\right\}\)

c) Ta có: \(\left(-12x-4^3\right)\cdot8^3=4\cdot8^4\)

\(\Leftrightarrow\left(-12x-64\right)=\dfrac{4\cdot8^4}{8^3}=32\)

\(\Leftrightarrow-12x=96\)

hay x=-8

Vậy: x=-8

a: =>x+7/4=6:2/3=9

=>x=29/4

b: =>x:5/3=7/5

=>x=7/5*5/3=7/3

c:=>x+1/6=5/3

=>x=10/6-1/6=3/2

d: =>x+4/5=4/5+3/7+3/5

=>x=3/7+3/5=36/35

e: =>x/35=4/5-5/7=3/35

=>x=3

f: =>13/28+x=1/2

=>x=1/28

g: =>1/3-x=1/9

=>x=2/9

a: Ta có: \(\left(x+2\right)\left(x+3\right)-\left(x-2\right)\left(x+5\right)=6\)

\(\Leftrightarrow x^2+5x+6-x^2-3x+10=6\)

\(\Leftrightarrow2x=-10\)

hay x=-5

b: Ta có: \(\left(3x+2\right)\left(2x+9\right)-\left(x+2\right)\left(6x+1\right)=\left(x+1\right)-\left(x-6\right)\)

\(\Leftrightarrow6x^2+27x+4x+18-6x^2-x-12x-2=x+1-x+6\)

\(\Leftrightarrow18x+16=7\)

hay \(x=-\dfrac{1}{2}\)

c: Ta có: \(3\left(2x-1\right)\left(3x-1\right)-\left(2x-3\right)\left(9x-1\right)=0\)

\(\Leftrightarrow3\left(6x^2-2x-3x+1\right)-\left(18x^2-2x-27x+3\right)=0\)

\(\Leftrightarrow18x^2-15x+3-18x^2+27x-3=0\)

hay x=0

a,  3 x + 1 : 3 4 = 81

3 x - 3 = 3 4

x – 3 = 4

x = 7

Vậy x = 7

b,  3 x + 3 . 3 x + 1 = 729

3 2 x + 4 = 3 6

2x + 4 = 6

x = 1

Vậy x = 1

c,  2 x + 3 . 2 x = 128

2 2 x + 3 = 2 7

2x + 3 = 7

x = 2

Vậy x = 2

d,  23 + 3 x = 5 6 : 5 3

23 + 3 x = 5 3

23 + 3x = 125

3x = 102

x = 34

Vậy x = 34

e,  2 x + 2 x + 4 = 272

2 x + 2 x . 2 4 = 272

2 x ( 1 + 2 4 ) = 272

2 x . 17 = 272

2 x = 16

2 x = 2 4

x = 4

Vậy x = 4

tách ra

\(1\)) \(5-\left(10-x\right)=7\)
\(10-x=5-7\)
\(10-x=-2\)
\(x=10-\left(-2\right)\)
\(x=12\)

\(2\)) \(-32-\left(x-5\right)=0\)
\(x-5=-32-0\)
\(x-5=-32\)
\(x=-32+5\)
\(x=-27\)

1)10-x=5-7

x=10-(-2)

x=12

2)x+5=0+32

x=32-5

x=27

3) -12+2x-9+x=0

-12+(2x+x-9)=0

3x-9=0+12

3x=12+9

x=21:3

x=7

4) 15-x=1-11

x=15-(-10)

x=25

5) 4-(27+3)=x-9

4-30=x-9

-26+9=x

x=-17