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a) x - 3 = -6
x=(-6)+3
x=-3
b) x - (-5)=4
x=4+5
x=9
c)x - (-9) = 4-(-9)
x - (-9) =13
x =13-9
x = 4
d) 4-x=-3-(-6)
4-x=3
x=4-1
x=3
+) X-3=-6
=> x = -6 +3
=> x = -3
+) x-(-5) =4
=> x = 4 + (-5)
=> x = -1
+) X-(-9) =4-(-9)
=> x = 4 - (-9) + (-9)
=> x = 4
+) 4-x=-3-(-6)
=> 4-x = 3
=> x = 4-3
=> x = 1
a) \(55-4x-4\left(-x+3\right)=6-2\left(-8-3x\right)\)
\(55-4x+4x-12=6+16+6x\)
\(43-6-16=6x\)
\(6x=21\)
\(x=3,5\)
b) \(-5\left(-2x-6\right)-9\left(4-7x\right)=51-3x+6\left(x-9\right)\)
\(10x+30-36+63x=51-3x+6x-54\)
\(73x-6=-3+3x\)
\(73x-3x=-3+6\)
\(70x=3\)
\(x=\frac{3}{70}\)
c) \(93+\left|6-3x\right|-39=231\)
\(\left|6-3x\right|+54=231\)
\(\left|6-3x\right|=177\)
\(\Rightarrow\orbr{\begin{cases}6-3x=177\\6-3x=-177\end{cases}}\Rightarrow\orbr{\begin{cases}3x=6-177\\3x=6+177\end{cases}}\Rightarrow\orbr{\begin{cases}3x=-171\\3x=183\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-57\\x=61\end{cases}}\)
\(TH1:x\ge0\)
\(\Rightarrow x\left(1-\dfrac{5}{6}\right)=\dfrac{4}{9}.\dfrac{15}{8}\)
\(\Rightarrow x=\dfrac{\dfrac{4}{9}.\dfrac{15}{8}}{1-\dfrac{5}{6}}=5\left(TM\right)\)
\(TH2:x< 0\)
\(\Rightarrow x\left(-1-\dfrac{5}{6}\right)=\dfrac{4}{9}.\dfrac{15}{8}\)
\(\Rightarrow x=\dfrac{\dfrac{4}{9}.\dfrac{15}{8}}{-1-\dfrac{5}{6}}=-\dfrac{5}{11}\left(TM\right)\)
Vậy ...
Giải:
\(\left|x\right|-\dfrac{5}{6}.x=\dfrac{4}{9}.\dfrac{15}{8}\)
\(TH1:x\ge0\)
\(\left|x\right|-\dfrac{5}{6}.x=\dfrac{4}{9}.\dfrac{15}{8}\)
\(x-\dfrac{5}{6}.x=\dfrac{5}{6}\)
\(x.\left(1-\dfrac{5}{6}\right)=\dfrac{5}{6}\)
\(x.\dfrac{1}{6}=\dfrac{5}{6}\)
\(x=\dfrac{5}{6}:\dfrac{1}{6}\)
\(x=5\)
\(TH2:x\le0\)
\(\left|x\right|-\dfrac{5}{6}.x=\dfrac{4}{9}.\dfrac{15}{8}\)
\(-x-\dfrac{5}{6}.x=\dfrac{5}{6}\)
\(x.\left(-1-\dfrac{5}{6}\right)=\dfrac{5}{6}\)
\(x.\dfrac{-11}{6}=\dfrac{5}{6}\)
\(x=\dfrac{5}{6}:\dfrac{-11}{6}\)
\(x=\dfrac{-5}{11}\)
Vậy \(x\in\left\{\dfrac{-5}{11};5\right\}\)
15-(4-x)=6
⇒15-4+x=6
⇒11+x=6
⇒x=-5
x-(12-25)=-8
⇒x+13=-8
⇒x=-21
(x-29)-(17-38)=-9
⇒x-29+21=-9
⇒x-8=-9
⇒x=-1
-30+(25-x)=-1
⇒-30+25-x=-1
⇒-5-x=-1
⇒x=-4
a)x- (-5)=4
x+5=4
x=4+5
x=9
b)x - (-9)=4-(-9)
x+9=4+9
x+9=13
x=13-9
x=4
c)4 - x=-3-(-6)
4-x=-3+6
4-x=3
x=4-3
x=1
Ta có : \(-\frac{4}{9}< x< \frac{6}{9}\)
\(\Leftrightarrow x\in\left\{-\frac{3}{9};-\frac{2}{9};-\frac{1}{9};-\frac{0}{9};\frac{1}{9};\frac{2}{9};\frac{3}{9};\frac{4}{9};\frac{5}{9}\right\}\)