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Ta có 3x+45=150%x+135
3x+45=1,5x+135
3x-1,5x=135-45
1,5x=90
x=90:1,5
x=60
a ) 2x - 1 = 7
2x = 7 + 1
2x = 8
x = 8 : 2
x = 4
b ) 3 ( x + 5 ) = 21
( x + 5 ) = 21 : 3
( x + 5 ) = 7
x = 2
c ) 20 - ( 3x - 1 ) = 15
( 3x - 1 ) = 20 - 15
( 3x - 1 ) = 5
3x = 6
x = 2
d ) ( x - 135 ) -120 = 0
( x - 135 ) = 120
x = 120 + 135
x = 255
a)2x - 1 = 7
=>2x=8
=>x=4
b) 3(x+5) = 21
=>x+5=7
=>x=2
c) 20 - (3x - 1) = 15
=>3x-1=5
=>3x=6
=>x=2
d) (x - 135) - 120 = 0
=>x-135=120
=>x=155
a, 71.2 – 6.(2x+5) = 10 5 : 10 3
71.2 – 6.(2x+5) = 10 2
6.(2x+5) = 71.2 – 100
6.(2x+5) = 42
x = 1
b, 5 x + 3 4 . 6 8 = 6 9 . 3 4
5 x + 3 4 . 6 8 = 6 8 . 6 . 3 4
5 x + 3 4 = 6 8 . 6 . 3 4 : 6 8 = 6 . 3 4
5x = 6 . 3 4 - 3 4 = 5 . 3 4
x = 3 4
c, 12:{390:[5. 10 2 – ( 5 3 + x . 7 2 )]} = 4
390:[5. 10 2 – ( 5 3 + x . 7 2 )] = 12:4 = 3
5. 10 2 – ( 5 3 + x . 7 2 ) = 390:3 = 130
5 3 + x . 7 2 = 5. 10 2 – 130 = 370
x . 7 2 = 370 – 5 3 = 245
x = 245: 7 2 = 5
d, 5 3 .(3x+2):13 = 10 3 : 13 5 : 13 4
5 3 .(3x+2):13 = 10 3 : 13
3x+2 = 10 3 : 13 : 5 3 .13 = 8
x = 2
(2x-7)-135=0
2x-7=0+135
2x-7=135
2x=135+7
2x=142
x=142:2
x=71
vậy x=71
b)122+(37-3x)=0
37-3x=0-122
37-3x=-122
3x=37-(-122)
3x=159
x=159:3
x=53
vậy x=53
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Lời giải:
1. $(x+2)-2=0$
$x+2=2$
$x=0$
2.
$(x+3)+1=7$
$x+3=7-1=6$
$x=6-3=3$
3.
$(3x-4)+4=12$
$3x-4+4=12$
$3x=12$
$x=12:3=4$
4.
$(5x+4)-1=13$
$5x+4=13+1=14$
$5x=14-4=10$
$x=10:5=2$
5.
$(4x-8)-3=5$
$4x-8=5+3=8$
$4x=8+8=16$
$x=16:4=4$
6.
$3+(x-5)=7$
$x-5=7-3=4$
$x=4+5=9$
7.
$8-(2x-4)=2$
$2x-4=8-2=6$
$2x=6+4=10$
$x=10:2=5$
8.
$7+(5x+2)=14$
$5x+2=14-7=7$
$5x=7-2=5$
$x=5:5=1$
9.
$5-(3x-11)=1$
$3x-11=5-1=4$
$3x=11+4=15$
$x=15:3=5$
10.
$16-(8x+2)=6$
$8x+2=16-6=10$
$8x=10-2=8$
$x=8:8=1$
$\Rightarrow 3^x(1+3+3^2+3^3)=1080$
$\Rightarrow 3^x.40=1080$
$\Rightarrow 3^x=27=3^3$
$\Rightarrow x=3$
Bài 1:
a, 2x + 35 = x - 27
2x - x = -27 - 35
x = -62
b, 2x - 41 = 3x + (-23)
2x - 3x = -23 + 41
-x = 18
x = -18
c, 4 . (x - 3) - 3 . (x - 5) = 45 . (-2) - 34
4x - 12 - 3x + 15 = -90 - 34
4x - 3x = -90 - 34 + 12 - 15
x = -127
Bài 2:
- ( -1234 + 345 - 29 ) - ( 1234 + 135 - 59 )
= 1234 - 345 + 29 - 1234 - 135 + 59
= (1234 - 1234) - (345 + 135) + (29 + 59)
= 0 - 480 + 88
= -392
a,2x+53=135
2x=135-53
2x=82
x=82:2
x=41
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\(\left(x-2\right)^3+\left(3\text{x}-1\right)\left(3\text{x}+1\right)=\left(x+1\right)^3\)
\(\Leftrightarrow\left(x-2\right)^3+\left(3\text{x}-1\right)\left(3\text{x}+1\right)-\left(x+1\right)^3=0\)
\(\Leftrightarrow\left(x^3-6\text{x}^2+12\text{x}-8\right)+\left(9\text{x}^2-1\right)-\left(x^3+3\text{x}^2+3\text{x}+1\right)=0\)
\(\Leftrightarrow x^3-6\text{x}^2+12\text{x}-8+9\text{x}^2-1-x^3-3\text{x}^2-3\text{x}-1=0\)
\(\Leftrightarrow\left(x^3-x^3\right)+\left(-6\text{x}^2+9\text{x}^2-3\text{x}^2\right)+\left(12\text{x}-3\text{x}\right)+\left(-8-1-1\right)=0\)
\(\Leftrightarrow9\text{x}-10=0\)
\(\Leftrightarrow9\text{x}=10\Leftrightarrow x=\frac{10}{9}\)
Vậy x = \(\frac{10}{9}\)
\(2\times3^{x+1}-3^x=135\\ 2\times3\times3^x-3^x=135\\ 6\times3^x-3^x=135\\ 5\times3^x=135\\ 3^x=27\\ 3^x=3^3\\ x=3\)
Ta có \(2.3^{x+1}-3^x=135\)
\(\Leftrightarrow2.3^x.3-3^x=135\)
\(\Leftrightarrow3^x.6-3^x=135\)
\(\Leftrightarrow3^x\left(6-1\right)=135\)
\(\Leftrightarrow3^x=27\)
\(\Leftrightarrow3^3=27\Leftrightarrow x=3\)
Vậy x=3