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Bài 1:
a) \(24 - (-15) - 2\)
\(=39-2\)
\(=37\)
b) \((-85) + 10 - (-85) - 50\)
\(=[(-85)-(-85)]+10-50\)
\(=0+10-50\)
\(=10-50\)
\(=-40\)
c) \(71 - (-30) - (+18) + (-30)\)
\(=[(-30)-(-30)]+71-(+18)\)
\(=0+71-18\)
\(=71-18\)
\(=53\)
d) \(-(30) - (+37) + (+37) + (-85)\)
\(=[-(+37)+(+37)]-(30)+(-85)\)
\(=0-(30)+(-85)\)
\(=(-30)+(-85)\)
\(=-115\)
e) \((35-815) - (795-65)\)
\(=(-780)-730\)
\(=-1510\)
g) \((2002-79+15) + (-79+15)\)
\(=1938+(-64)\)
\(=1874\)
Bài 2:
a) \(25 - (30+x) = x - (27-8)\)
\(25-30-x=x-27+8\)
\(x+x=25-30+27-8\)
\(2x=14\)
\(x=14\div2\)
\(x=7\)
b) \((x-12) - 15 = (20-17) - (18+x) \)
\(x-12-15=13-18-x\)
\(x-27=-5-x\)
\(x+x=-5+27\)
\(2x=22\)
\(x=22\div2\)
\(x=11\)
c) \(15 - x = 7 - (-2)\)
\(15-x=9\)
\(x=15-9\)
\(x=6\)
d) \(x - 35 = (-12) - 3\)
\(x-35=-15\)
\(x=-15+35\)
\(x=20\)
e) \(\left|5-x\right|-26=-15\)
\(\left|5-x\right|=-15+26\)
\(\left|5-x\right|=11\)
Từ đây ta có:
*Nếu \(5-x=11\)
\(x=5-11\)
\(x=-6\)
*Nếu \(5-x=-11\)
\(x=5-(-11)\)
\(x=16\)
Vậy \(x=-6;x=16\)
\(-12\left(x-5\right)+7\left(3-x\right)=15\)
\(-12x+60+21-7x=15\)
\(-12x-7x=15-60-21\)
\(-19x=-66\)
\(x=\frac{66}{19}\)
Vây....
b)
a)-12.(x-5)+7.(3-x)=15
-12x+60+21-7x=15
-19x+81=15
-19x=15-81
-19x=-66
=>x=66/19
-7( 5 - x ) - 2( x - 10 ) = 15
=> -35 + 7 - 2x + 20 = 15
=> -35 + 7 + 20 - 15 = 2x
=> -8 = 2x => x = -4
\(5.\left(x-30\right)-2.\left(x+6\right)=9\)
\(\Leftrightarrow5x-150-2x-12=9\)
\(\Leftrightarrow5x-2x=9+150+12\)
\(\Leftrightarrow3x=171\)
\(\Leftrightarrow x=57\)
a, -12(x-5)+7(3-x)=15
=> -12x+60+21-7x=15
=>-19x+81=15
=>-19x=15-81
=>-19x=....
tách ra rồi tính
a/ => -12x + 60 + 21 - 7x = 15
=> -19x = -66
=> x = 66/19
b/ => 30x + 60 - 6x + 30 - 24x = 100
=> 0x = 10
=> vô nghiệm
Bài 2:
\(a,45+170+25+30\)
\(=\left(45+25\right)+\left(170+30\right)\)
\(=60+200=260\)
Bài 3:
\(a,\left(x-6\right).5=150\)
\(x-6=150:5\)
\(x-6=30\)
\(x=30+6\)
\(x=36\)
\(b,2^5.\left(3x-2\right)=2^3.2^6\)
\(2^5.\left(3x-2\right)=2^{3+6}\)
\(2^5.\left(3x-2\right)=2^9\)
\(3x-2=2^9:2^5\)
\(3x-2=2^4=16\)
\(3x=16+2\)
\(3x=22\)
\(x=22:3\)
\(x\approx7,3\)
\(c,100-7.\left(x-5\right)=51\)
\(7.\left(x-5\right)=100-51\)
\(7.\left(x-5\right)=49\)
\(x-5=49:7\)
\(x-5=7\)
\(x=7+5\)
\(x=12\)
Phần d) bạn thiếu dữ liệu ạ.
30 ( x + 2 ) + 7 ( 3 - x ) = 15
30x + 30 X 2 + 7 X 3 - 7x = 15
30x + 60 + 21 - 7x = 15
30x - 7x = 15 - 60 - 21
23x = -66
x = -66 : 23
x = -66/23
Vậy x = -66/23