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1,x-43=(35-x)-48
=>x-43=35-x-48
=>x+x=35-48+43
=>2x=30
=>x=15
Vậy x=15
2,305-x+14=48+(x-23)
=>305-x+14=48+x-23
=>305+14+23-48=x+x
=>294=2x
=>x=294:2
=>x=147
3,-(x-6+85)=(x+51)-54
=>-x+6-85=x+51-54
=>6-85-51+54=x+x
=>-76=2x
=>x=(-76):2
=>x=-38
4,-(35-x)-(37-x)=33-x
=>-35+x-37+x=33-x
=>-35+(-37)+(-33)=-x-x-x
=>-105=-3x
=>x=(-105):(-3)
=>x=35
5,13-\(|x|=|-4|\)
=>13-\(|x|\)=4
=>13-4=\(|x|\)
=>9=\(|x|\)
=>x=9 hoặc x=-9
5) 13 - |x| = |-4|
=> 13 - |x| = 4
|x| = 13-4 = 9
Vậy x=9 hoặc x=-9
4) - (35-x) - (37-x) = 33-x
<=>-35 + x - 37 + x = 33-x
<=> -35 - 37 + x + x = 33-x
-72 + 2x = 33 - x
Theo quy tắc chuyển vế, ta có
-72 - 33 = - 2x + x
-105 = - (2x+x)
-105 = -3x
=> x = (-105) : (-3) = 35
Vậy x=35
Mk chỉ làm đc hai câu thôi. Mk có việc nên ko thể làm tiếp đc cho bạn nữa nha...
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
a) x - 43 = ( 35 - x ) - 48
⇔ x - 43 = 35 - x - 48
⇔ 2x = 30
⇔ x = 15
Vậy...
b) 305 - x + 14 = 48 + ( x - 23 )
⇔ 305 - x + 14 = 48 + x - 23
⇔ 2x = 294
⇔ x = 147
Vậy...
c) -( x - 6 + 85 ) = ( x + 51 ) - 54
⇔ - x + 6 - 85 = x + 51 - 54
⇔ 2x = -76
⇔ x = -38
Vậy...
d) -( 35 - x ) - ( 37 - x ) = 33 - x
⇔ -35 + x - 37 + x = 33 - x
⇔ 2x = 105
⇔ x = 52,5
Vậy...
e) 13 - | x | = | -4 |
⇔ |x| = 9
⇔ x = \(\pm\)9
Vậy...
f) | x | - 3 + 6 = 16
⇔ |x| = 13
⇔ x = \(\pm\)13
Vậy...
g) 35 - | 2x - 1 | = 14
⇔ |2x - 1| = 21
⇔ \(\text{⇔}\left[{}\begin{matrix}2x-1=21\\2x-1=-21\end{matrix}\right.\text{⇔}\left[{}\begin{matrix}x=11\\x=-10\end{matrix}\right.\)
Vậy...
h) | 3x - 2 | + 5 = 9 - x
⇔ |3x - 2| + x = 4
⇔ Tịt
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
=>\(x=\dfrac{105}{3}=35\)
a) Ta có: x-43=(35-x)-48
⇔x-43=35-x-48
⇔x-43=-x-13
⇔x-43+x+13=0
⇔2x-30=0
⇔2(x-15)=0
mà 2≠0
nên x-15=0
hay x=15
b) Ta có: 305-x+14=48+(x-23)
⇔319-x=48+x-23
⇔319-x=x+25
⇔319-x-x-25=0
⇔-2x+294=0
⇔-2x=-294
hay x=147
Vậy: x=147
c) Ta có: -(x-6+85)=(x+51)-54
⇔-x+6-85=x+51-54
⇔-x-79=x-3
⇔-x-79-x+3=0
⇔-2x-76=0
⇔-2x=76
hay x=-38
Vậy: x=-38
d) Ta có: -(35-x)-(37-x)=33-x
⇔-35+x-37+x-33+x=0
⇔3x-105=0
⇔3(x-35)=0
mà 3≠0
nên x-35=0
hay x=35
Vậy: x=35
e) Ta có: 13-|x|=|-4|
⇔13-|x|=4
⇔|x|=9
⇔x∈{9;-9}
Vậy: x∈{9;-9}
f) Ta có: |x|-3+6=16
⇔|x|+3=16
⇔|x|=13
hay x∈{-13;13}
Vậy: x∈{-13;13}
g) Ta có: 35-|2x-1|=14
⇔|2x-1|=21
⇔\(\left[{}\begin{matrix}2x-1=21\\2x-1=-21\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=22\\2x=-20\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=11\\x=-10\end{matrix}\right.\)
Vậy: x∈{11;-10}
h) Ta có: |3x-2|+5=9-x
⇔|3x-2|+5-9+x=0
⇔|3x-2|-4+x=0
⇔|3x-2|=0-(-4+x)
⇔|3x-2|=4-x
⇔\(\left[{}\begin{matrix}3x-2=4-x\\3x-2=x-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3x-2-4+x=0\\3x-2-x+4=0\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}4x-6=0\\2x+2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}4x=6\\2x=-2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\frac{3}{2}\left(ktm\right)\\x=-1\left(tm\right)\end{matrix}\right.\)
Vậy: x=-1