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a) -10 - (x - 5) + (3 - x) = -8
=> -10 - x + 5 + 3 -x = -8
=> -2x - 2 = -8
=> -2x = -6
=> x = -6/-2 = 3
b) 10 + 3(x - 1) = 10 + 6x
=> 10 + 3x - 3 = 10 + 6x
=> 3x - 6x = 10 - 7
=> -3x = 3
=> x = 3/-3 = -1
c) (x + 1)(x - 2) = 0
=> \(\orbr{\begin{cases}x+1=0\\x-2=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=-1\\x=2\end{cases}}\)

c) 10 . {[(x : 3 + 17) : 10 + 3 . 2^2] : 10} = 5
[(x : 3 + 17) : 10 + 3 . 4] : 10 = 5 : 10
[(x : 3 + 17) : 10 + 12] : 10 = 1/2
(x : 3 + 17) : 10 + 12 = 1/2 . 10
(x : 3 + 17) : 10 + 12 = 5
(x : 3 + 17) : 10 = 5 - 12
(x : 3 + 17) : 10 = -7
=> x : 3 + 17 = -7 . 10
x : 3 + 17 = -70
x : 3 = -70 - 17
x : 3 = -87
x = -87 . 3
x = -261
a ) \(\left(4x+5\right):3-121:1=4\)
\(\Leftrightarrow\left(4x+5\right):3-11=4\)
\(\Leftrightarrow\left(4x+5\right):3=15\)
\(\Leftrightarrow\left(4x+5\right)=45\)
\(\Leftrightarrow4x=40\)
\(\Leftrightarrow x=10\)
Tiếp tịch như z là đc

|-2-x|+3=10
=> |-2-x|=7
+) -2-x=7
=> x=-2-7
=> x=-9
+) -2-x=-7
=> x=-2-(-7)
=> x=-2+7
=> x=5
Vậy x \(\in\){-9; 5}.
10-2.|-x+3|=8
=> 2.|-x+3|=2
=> |-x+3|=1
+) -x+3=1
=> -x=1-3
=> -x=-2
=> x=2
+) -x+3=-1
=> -x=-1-3
=> -x=-4
=> x=4
Vậy x thuộc {2; 4}.
|-2 - x| + 3 = 10
|-2 - x| = 7
TH1: -2 - x = -7
x = 5
TH2 : -2 - x= 7
x = -9

\(1,\\ x+\dfrac{1}{2}=-\dfrac{5}{3}\\ x=-\dfrac{5}{3}-\dfrac{1}{2}\\ x=-\dfrac{13}{6}\\ Vậyx=-\dfrac{13}{6}\)
\(2,\\ \dfrac{1}{3}-x=\dfrac{3}{5}\\ x=\dfrac{1}{3}-\dfrac{3}{5}\\ x=-\dfrac{4}{15}\\ Vậyx=-\dfrac{4}{15}\)
\(3,\\ 3-4+x=\dfrac{7}{2}\\ -1+x=\dfrac{7}{2}\\ x=\dfrac{7}{2}+1\\ x=\dfrac{9}{2}\\ Vậyx=\dfrac{9}{2}\)
\(4,\\ x-\dfrac{4}{3}=-\dfrac{7}{9}\\ x=-\dfrac{7}{9}+\dfrac{4}{3}\\ x=\dfrac{15}{27}\\ Vậyx=\dfrac{15}{27}\)
\(5,\\ x-\left(-\dfrac{7}{3}\right)=\dfrac{5}{6}\\ x=\dfrac{5}{6}-\dfrac{7}{3}\\ x=-\dfrac{27}{18}\\ Vậyx=-\dfrac{27}{18}\)
\(6,\\ x-\dfrac{1}{5}=\dfrac{9}{10}\\ x=\dfrac{9}{10}+\dfrac{1}{5}\\ x=\dfrac{11}{10}\\ Vậyx=\dfrac{11}{10}\)
\(7,\\ x+\dfrac{5}{12}=\dfrac{3}{8}\\ x=\dfrac{3}{8}-\dfrac{5}{12}\\ x=-\dfrac{1}{24}\\ Vậyx=-\dfrac{1}{24}\)
\(8,\\ x+\dfrac{5}{4}=\dfrac{7}{6}\\ x=\dfrac{7}{6}-\dfrac{5}{4}\\ x=-\dfrac{9}{24}\\ Vậyx=-\dfrac{9}{24}\)
\(9,\\ x-\dfrac{2}{7}=\dfrac{1}{35}\\ x=\dfrac{1}{35}+\dfrac{2}{7}\\ x=\dfrac{11}{35}\\ Vậyx=\dfrac{11}{35}\\ 10,\\ x-\dfrac{1}{5}=-\dfrac{7}{10}\\ x=-\dfrac{7}{10}+\dfrac{1}{5}\\ x=-\dfrac{1}{2}\\ Vậyx=-\dfrac{1}{2}\)
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\(\dfrac{2}{10}.x+\dfrac{3}{10}.x=2\)
\(x.\left(\dfrac{2}{10}+\dfrac{3}{10}\right)=2\)
\(x.\dfrac{5}{10}=2\)
\(x=2:\dfrac{5}{10}\)
\(x=4\)
\(\dfrac{2}{10}\times x+\dfrac{3}{10}\times x=2\\ =>x\times\left(\dfrac{2}{10}+\dfrac{3}{10}\right)=2\\ =>x\times\dfrac{1}{2}=2\\ =>x=2:\dfrac{1}{2}=4\)