tìm x :
85-(35-x)=24
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a, x - 43 = ( 35 - x ) - 48
\(x-43=35-x-48\)
\(x+x=35-48+43\)
\(2x=30\)
\(x=15\)
b, 305 - x + 14 = 48 + ( x - 23 )
\(305-x+14=48+x-23\)
\(-x-x=48-23-14-305\)
\(-2x=-294\)
\(x=147\)
c, ( x - 6 + 85 ) = ( x + 51 ) - 54
\(x-6+85=x+51-54\)
\(x-x=51-54-85+6\)
\(0=-82\)
\(x\in\varnothing\)
d, -( 35 - x ) - ( 37 - x ) = 33 - x
\(-35+x-37+x=33-x\)
\(x+x+x=33+37+35\)
\(3x=105\)
\(x=35\)
e, - 12. ( x - 5 ) + 7 . ( 3 - x ) = 5
\(-12x+60+21-7x=5\)
\(-12x-7x=5-21-60\)
\(-19x=-76\)
\(x=4\)
f, 30. ( x+ 2 ) - 6 . ( x - 5 ) - 24 = 100
\(30x+60-6x+30-24=100\)
\(30x-6x=100+24-30-60\)
\(24x=34\)
\(x=\frac{17}{12}\)
chúc bạn học tốt
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 \(x=-6;x=16\)
a: \(x-43=\left(35-x\right)-48\)
=>\(x-43=35-x-48\)
=>\(x-43=-x-13\)
=>\(x+x=-13+43\)
=>2x=30
=>x=30/2=15
b: \(305-x+14=48+\left(x-23\right)\)
=>\(319-x=48+x-23=25+x\)
=>\(x+25=319-x\)
=>\(x+x=319-25\)
=>\(2x=294\)
=>\(x=\dfrac{294}{2}=147\)
c: \(-\left(-x-6+85\right)=\left(x+51\right)-54\)
=>\(-\left(-x+79\right)=x+51-54\)
=>x-79=x-3
=>-79=-3(vô lý)
=>\(x\in\varnothing\)
d: \(-\left(35-x\right)-\left(37-x\right)=33-x\)
=>\(-35+x-37+x=33-x\)
=>2x-72=-x+33
=>\(2x+x=33+72\)
=>3x=105
=>\(x=\dfrac{105}{3}=35\)
x+85=100
x=100-85
x=15
x-24=45
x-24=45
x=45+24
x=69
x.5=35
x=35:5
x=7
x:2=5
x=5.2
x=10
HT
\(460+85\times4=\left(x+200\right)\times4\)
\(\left(x+200\right)\times4=460+340\)
\(\left(x+200\right)\times4=800\)
\(x+200=800:4\)
\(x+200=200\)
\(x=200-200\)
\(x=0\)
~~~
\(\left(x-7\right)\left(2x-8\right)=0\)
\(+, TH1: x - 7 = 0\)
\(x=0+7\)
\(x=7\)
\(+, TH2 : 2x - 8 = 0 \)
\(2x=0+8\)
\(2x=8\)
\(x=8:2\)
\(x=4\)
~~~
\(x-280:35=5\times54\)
\(x-8=270\)
\(x=270+8\)
\(x=278\)
~~~
\(324+16\times\left(2x+3\right)=404\)
\(16\times\left(2x+3\right)=404-324\)
\(16\times\left(2x+3\right)=80\)
\(2x+3=80:16\)
\(2x+3=5\)
\(2x=5-3\)
\(2x=2\)
\(x=2:2\)
\(x=1\)
#\(Toru\)
`460 + 85 xx 4 = ( x + 200) xx 4`
`460 + 340 = (x+200)xx4`
` 800= (x+200)xx4`
`x+200=800:4`
`x+200=200`
`x=200-200`
`x=0`
__
`(x-7)(2x-8)=0`
`@ TH1`
`x-7=0`
`x=0+7`
`x=7`
`@ TH2`
`2x-8=0`
`2x=0+8`
`2x=8`
`x=8:2`
`x=4`
__
`x -280 : 35=5xx54`
`x -280 : 35=270`
`x-8=270`
`x=270+8`
`x=278`
__
`324 + 16xx(2x+3)=404`
`16xx(2x+3)=404 -324`
`16xx(2x+3)=80`
`2x+3=80:16`
`2x+3=5`
`2x=5-3`
`2x=2`
`x=2:2`
`x=1`
Bài 6:
a)\(\left(-18\right)-\left(-3\right)-12\)
\(=\left(-18\right)+3-12\)
\(=-15-12\)
\(=-27\)
b)\(85.\left(35-27\right)-35.\left(85-27\right)\)
\(=85.35-85.27-35.85+35.27\)
\(=85.\left(35-27-35\right)+35.27\)
\(=85.\left(-27\right)+35.27\)
\(=27.\left(-85+35\right)\)
\(=27.\left(-50\right)\)
\(=-1350\)
c)\(\left(-45\right).69+31.\left(-45\right)\)
\(=\left(-45\right).\left(69+31\right)\)
\(=\left(-45\right).100\)
\(=-4500\)
Bài 7:
a)\(\left(2-x\right)+10=-14\)
\(\Rightarrow2-x=-24\)
\(\Rightarrow x=26\)
b)\(14.\left|x\right|=28\)
\(\Rightarrow\left|x\right|=2\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-2\end{cases}}\)
c)\(31-\left(17+x\right)=55\)
\(\Rightarrow17+x=-24\)
\(\Rightarrow x=-41\)
85 - (35 - x) = 24
(35 - x) = 85 - 24
(35-x) = 61
x = 35 - 61
x = - 26
(85-35)-x=24 50- x=24 x=50-24 x=26