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a) \(-x-14+32=-26\)
\(-x=-26-32+14\)
\(-x=-44\)
\(x=44\)
b) \(-152-\left(3x+1\right)=\left(-2\right)\left(-27\right)\)
\(-152-3x-1=54\)
\(-3x=96\)
\(x=-32\)
c) \(x+x+x+82=-2-x\)
\(3x+82=2+x\)
\(2x=-80\)
\(x=-40\)
d) \(\left(-1\right)\left(-3\right)\left(-6\right)x=36\)
\(-18x=36\)
\(x=-2\)
1)
\(-x-14+32=-26\)
\(\Rightarrow-x+18=-26\)
\(\Rightarrow-x=-26-18\)
\(\Rightarrow-x=-44\)
\(\Rightarrow x=44\)
Vậy \(x=44\)
2)
\(-152-\left(3x+1\right)=\left(-2\right)\left(-27\right)\)
\(\Rightarrow-152-3x-1=54\)
\(\Rightarrow-153-3x=54\)
\(\Rightarrow-3x=54+163\)
\(\Rightarrow-3x=207\)
\(\Rightarrow x=207:\left(-3\right)\)
\(\Rightarrow x=-69\)
Vậy \(x=-69\)
3)
\(x+x+x+82=-2-x\)
\(\Rightarrow3x+82=-2-x\)
\(\Rightarrow3x+x=-2-82\)
\(\Rightarrow4x=-84\)
\(\Rightarrow x=-21\)
Vậy \(x=-21\)
4)
\(\left(-1\right)\left(-3\right)\left(-6\right).x=36\)
\(\Rightarrow-18x=36\)
\(\Rightarrow x=-2\)
Vậy \(x=-2\)
\(\Leftrightarrow14-\frac{72}{-\left(8+x\right)}=-23\)
\(\Leftrightarrow37+\frac{72}{8+x}=0\)
\(\Leftrightarrow37\left(8+x\right)+72=0\)
\(\Leftrightarrow296+37x+72=0\)
\(\Leftrightarrow37x=-368\Leftrightarrow x=-\frac{368}{37}\)
a) \(x-270:45=120\)
\(x-270=120.45\)
\(x-270=5400\)
\(x=5400+270\)
\(x=5670\)
_____
b) \(575-\left(6\times x+70\right)=445\)
\(6\times x+70=575-445\)
\(6\times x+70=130\)
\(6\times x=130-70\)
\(6\times x=60\)
\(x=60:6\)
\(x=10\)
_____
c) \(x-105:21=15\)
\(x-105=15.21\)
\(x-105=315\)
\(x=315+105\)
\(x=420\)
_____
d) \(3200:\left(405-x\right)=8\)
\(405-x=3200:8\)
\(405-x=400\)
\(x=405-400\)
\(x=5\)
_____
i) \(43575-75\times x=42450\)
\(75.x=43575-42450\)
\(75.x=1125\)
\(x=1125:75\)
\(x=15\)
_____
e) \(8,75\times x+1,25\times x=20\)
\(x\times\left(8,75+1,25\right)=20\)
\(x\times10=20\)
\(x=20:10\)
\(x=2\)
\(A=7+7^2+7^3+7^4+7^5+7^6+7^7+7^8\)
\(A=\left(7+7^3\right)+\left(7^2+7^4\right)+\left(7^5+7^7\right)+\left(7^6+7^8\right)\)
\(A=7\cdot\left(7+7^2\right)+7^2\cdot\left(1+7^2\right)+7^5\cdot\left(1+7^2\right)+7^6\cdot\left(1+7^2\right)\)
\(A=7\cdot50+7^2\cdot50+7^5\cdot50+7^6\cdot50\)
\(A=50\cdot\left(7+7^2+7^5+7^6\right)\)
\(A=5\cdot10\cdot\left(7+7^2+7^5+7^6\right)\)
Ta có: 5 ⋮ 5
⇒ \(A=5\cdot10\cdot\left(7+7^2+7^5+7^6\right)\) ⋮ 5 (đpcm)
A = 7 + 72 + 73 + 74 + 75 + 76 + 77 + 78
A = (7 + 73) + (72+ 74) + (75 + 77) + (76 + 78)
A = 7.(1 + 72) + 72.(1 + 72) + 75.(1 + 72) + 76.(1 + 72)
A = 7.( 1 + 49) + 72.( 1 + 49) + 75.(1 + 49) + 76. (1 + 49)
A = 7.50 + 72.50 + 75.50 + 76.50
A = 50.(7 + 72 + 75 + 76)
Vì 50 ⋮ 5 nên A = 50.(7 + 72 + 76) ⋮ 5 đpcm
-18<x<17
\(\Rightarrow x\in\left\{-18;-17;-16;...;17\right\}\)
-27<x<27
\(\Rightarrow x\in\left\{-27;-26;-25;...;27\right\}\)
|x|<3
\(\Rightarrow x\in\left\{\pm1;\pm5\right\}\)
|-x|<5
\(\Rightarrow x\in\left\{\pm1\right\}\)
chúc bạn học tốt !!!
\(20⋮x\Rightarrow x\inƯ\left(20\right)=\left\{1;2;4;5;10;20\right\}\)
Vậy \(x\in\left\{1;2;4;5;10;20\right\}\)
trả lời
5x-3 -20 = 105
5x-3 = 105 + 20
5x-3 = 125
5x-3 = 53
x-3 = 3
x =3+3
x = 6
Vậy x = 6