Tìm số nguyên x biết: 305-x+14=48+(x-23)
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305 - x + 14 = 48 + x - 23
(=) -x - x = 48 - 23 - 305 - 14
(=) -2x = -294
(=) x = -294 : (-2)
(=) x = 147
![](https://rs.olm.vn/images/avt/0.png?1311)
a, 305-x+14=48+x-23
<=> 319-x=25+x
<=>x=-147
b, -35+x-37+x=33-x
<=> -72+2x=33-x
<=> 2x+x=33+72
<=> 3x=105 <=> x=35
![](https://rs.olm.vn/images/avt/0.png?1311)
\(x\) + (-31) - (42) = -45
\(x\) - (31 + 42) = -45
\(x\) - 73 = -45
\(x\) = -45 + 73
\(x\) = 28
305 - \(x\) + 14 = 48 + (\(x\) - 23)
(305 + 14) - \(x\) = (48 - 23) + \(x\)
319 - \(x\) = 25 + \(x\)
\(x\) + \(x\) = 319 - 25
2\(x\) = 294
\(x\) = 294 : 2
\(x\) = 147
\(x-43=\left(35-x\right)\) - 48
\(x\) - 43 = 35 - \(x\) - 48
\(x\) - 43 = - (48 - 35) - \(x\)
\(x\) - 43 = - 13 - \(x\)
\(x\) + \(x\) = -13 + 43
2\(x\) = 30
\(x\) = 30 : 2
\(x\) = 15
x + (-31) - 42 = -45
x - 73 = -45
x = -45 + 73
x = 28
-------
305 - x + 14 = 48 + (x - 23)
319 - x = 48 + x - 23
-x - x = 25 - 319
-2x = -294
x = -294 : (-2)
x = 147
--------
x - 43 = (35 - x) - 48
x = 35 - x - 48 + 43
x + x = 30
2x = 30
x = 30 : 2
x = 15
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a)
305 - x + 14 = 48 + (x - 23)
<=>319-x =48+x-23
<=>319-x=25+x
Chuyển vế đổi dấu, Ta có:
-2x=-294
<=>x=147
Vậy giá trị của x là 147
Còn câu b) thì mình chịu SORRY bạn nhé ! Chúc bạn học tốt .
\(a,305-x+14=48+\left(x-23\right)\)
\(\Leftrightarrow-x-x=48-23-14-305\)
\(\Leftrightarrow-2x=-294\)
\(\Leftrightarrow x=147\)
\(b,-\left(35-x\right)-\left(37-x\right)=33-x\)
\(\Leftrightarrow-35+x-37+x=33-x\)
\(\Leftrightarrow2x+x=33+35+37\)
\(\Leftrightarrow3x=105\)
\(\Leftrightarrow x=35\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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
=>\(x=\dfrac{105}{3}=35\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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