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câu a : \(\frac{1}{7}=\frac{8}{-x}\Rightarrow\frac{8}{56}=\frac{8}{-x}\)
\(\Rightarrow-x=56\)
\(\Rightarrow x=-56\)
câu b
\(\left(x-2\frac{1}{4}\right):\left(-\frac{5}{6}\right)=3\)
\(\Rightarrow x-2\frac{1}{4}=3.\left(-\frac{5}{6}\right)\)
\(\Rightarrow x-2\frac{1}{4}=\frac{-15}{6}\)
đến đây thực hiện tìm x dễ rồi

1) \(\frac{1}{7}=\frac{8}{-x}\Rightarrow-x=7\cdot8\)
\(-x=56\)
\(x=-56\)
5) \(\left(x-2\frac{1}{4}\right):\left(-\frac{5}{6}\right)=3\)
\(x-\frac{9}{4}=3\cdot\left(-\frac{5}{6}\right)\)
\(x-\frac{9}{4}=-\frac{5}{2}\)
\(x=-\frac{5}{2}+\frac{9}{4}\)
\(x=-\frac{1}{4}\)
6) \(-8\left(4\frac{1}{5}\cdot x+\frac{3}{10}\right)=4\frac{4}{9}\)
\(-8\left(\frac{21}{5}x+\frac{3}{10}\right)=\frac{40}{9}\)
\(\frac{21}{5}x+\frac{3}{10}=\frac{40}{9}:\left(-8\right)\)
\(\frac{21}{5}x+\frac{3}{10}=-\frac{5}{9}\)
\(\frac{21}{5}x=-\frac{5}{9}-\frac{3}{10}\)
\(\frac{21}{5}x=-\frac{77}{90}\)
\(x=-\frac{77}{90}:\frac{21}{5}\)
\(x=-\frac{11}{54}\)

\(\left|x+5\right|=5\)
<=> \(\hept{\begin{cases}x+5=5\\x+5=-5\end{cases}}\)
<=> \(\hept{\begin{cases}x=0\\x=-10\end{cases}}\)
\(\left|x+1\right|+7=10\)
<=> \(\left|x+1\right|=3\)
<=> \(\hept{\begin{cases}x+1=3\\x+1=-3\end{cases}}\)
<=> \(\hept{\begin{cases}x=2\\x=-4\end{cases}}\)
\(\left|x-3\right|-6=5\)
<=> \(\left|x-3\right|=11\)
<=> \(\hept{\begin{cases}x-3=11\\x-3=-11\end{cases}}\)
<=> \(\hept{\begin{cases}x=14\\x=-8\end{cases}}\)
\(\left|x+2\right|-6\left(x-4\right)=20-6x\)
<=> \(\left|x+2\right|-6x+24=20-6x\)
<=> \(\left|x+2\right|=-4\)
<=> \(\hept{\begin{cases}x+2=-4\\x+2=4\end{cases}}\)
<=> \(\hept{\begin{cases}x=-2\\x=2\end{cases}}\)
a) \(|x+5|=5\)
\(\Rightarrow\orbr{\begin{cases}x+5=5\\x+5=-5\end{cases}}\Rightarrow\orbr{\begin{cases}x=0\\x=-10\end{cases}}\)
Vậy x = 0 hoặc x = -10
b) \(|x+1|+7=10\)
\(\Rightarrow|x+1|=10-7\)
\(\Rightarrow|x+1|=3\)
\(\Rightarrow\orbr{\begin{cases}x+1=3\\x+1=-3\end{cases}}\Rightarrow\orbr{\begin{cases}x=2\\x=-4\end{cases}}\)
Vậy x = 2 hoặc x = -4
c) \(|x-3|-6=5\)
\(\Rightarrow|x-3|=5+6\)
\(\Rightarrow|x-3|=11\)
\(\Rightarrow\orbr{\begin{cases}x-3=11\\x-3=-11\end{cases}}\Rightarrow\orbr{\begin{cases}x=14\\x=-8\end{cases}}\)
Vậy x = 14 hoặc x = -8
d) \(|x+2|-6\left(x-4\right)=20-6x\)
\(\Rightarrow|x+2|-6x+24=20-6x\)
\(\Rightarrow|x+2|=20-6x-24+6x\)
\(\Rightarrow|x+2|=\left(20-24\right)+\left(-6x+6x\right)\)
\(\Rightarrow|x+2|=-4\)
Vì \(|x|\ge0\)mà \(|x+2|=-4\)
\(\Rightarrow\)Không có giá trị x thỏa mãn
_Chúc bạn học tốt_

\(a.\Leftrightarrow2|x-6|-|x-6|-2=0\)
\(\Leftrightarrow|x-6|-2=0\)
\(\Leftrightarrow|x-6|=2\)
\(+x-6=2\)
\(\Leftrightarrow x=8\)
\(+x-6=-2\)
\(\Leftrightarrow x=4\)
v...
\(b.\Leftrightarrow-4\left(5-x\right)-7\left(5-x\right)+10\left(5-x\right)=-3\)
\(\Leftrightarrow\left(5-x\right)\left(10-4-7\right)=-3\)
\(\Leftrightarrow-1.\left(5-x\right)=-3\)
\(\Leftrightarrow5-x=3\)
\(\Leftrightarrow x=2\)
v...

a)\(10\left(x-7\right)-8\left(x+5\right)=6\cdot\left(-5\right)+24\)
\(10x-10\cdot7-8x-8\cdot5=\left(-30\right)+24\)
\(10x-70-8x-40=-6\)
\(10x-8x=\left(-6\right)+70+40\)
\(2x=104\)
\(x=104\div2\)
\(x=52\)
b)\(2\left(4x-8\right)-7\left(3+x\right)=6\)
\(2\cdot4x-2\cdot8-7\cdot3-7x=6\)
\(8x-16-21-7x=6\)
\(8x-7x=6+16+21\)
\(x=43\)

7/4x - 5 = -10/3
7/4x = -10/3+5
7/4x =5/3
x = 20/21
Vậy.........................
Hk tốt !
Bài làm
a) \(3\frac{1}{3}-\frac{3}{4}:x=\frac{-1}{6}\) b) \(\frac{7}{4}x-5=\frac{-10}{3}\)
\(\frac{10}{3}-\frac{3}{4}:x=\frac{-1}{6}\) \(\frac{7}{4}x=\frac{-10}{3}+5\)
\(\frac{3}{4}:x=\frac{10}{3}-\left(\frac{-1}{6}\right)\) \(\frac{7}{4}x=\frac{-10}{3}+\frac{15}{3}\)
\(\frac{3}{4}:x=\frac{10}{3}+\frac{1}{6}\) \(\frac{7}{4}x=\frac{5}{3}\)
\(\frac{3}{4}:x=\frac{20}{6}+\frac{1}{6}\) \(x=\frac{5}{3}:\frac{7}{4}\)
\(\frac{3}{4}:x=\frac{21}{6}\) \(x=\frac{5}{3}.\frac{4}{7}\)
\(x=\frac{21}{6}.\frac{3}{4}\) \(x=\frac{5}{3}.\frac{4}{7}\)
\(x=\frac{21}{8}\) \(x=\frac{20}{21}\)
Vậy \(x=\frac{21}{8}\) Vậy \(x=\frac{20}{21}\)
# Chúc bạn học tốt #

a) \(14:\frac{0,4x+0,6}{x}=7\)
\(\frac{0,4x+0,6}{x}=2\)
0,4x + 0,6 = 2.x
2x - 0,4x = 0,6
1,6x = 0,6
x = 0,375
b) \(\left(160\%+\frac{2}{3}x-x\right).12=660\)
\(\left(160\%+\frac{2}{3}x-x\right)=55\)
\(x\left(\frac{2}{3}-1\right)=53,4\)
\(-\frac{1}{3}x=\frac{267}{5}\)
\(x=\frac{267}{5}.\frac{3}{-1}\)
\(x=-160,2\)
c) \(1:\frac{1.2.3.4.....31}{2.2.2.3.2.4.....2.32}=2^x\)
\(1:\frac{1.2.3.4.....31}{2^{31}.2.3.4.....31.2^5}=2^x\)
\(1:\frac{1}{2^{36}}=2^x\)
\(2^{36}=2^x\)
\(x=36\)

\(a,x+\frac{2}{10}=\frac{3}{6}\)
\(x=\frac{3}{6}-\frac{2}{10}\)
\(x=\frac{3}{10}\)
\(b,x-\frac{1}{2}+\frac{3}{2}=\frac{4}{5}\)
\(x-\frac{1}{2}=\frac{4}{5}-\frac{3}{2}\)
\(x-\frac{1}{2}=-\frac{7}{10}\)
\(x=-\frac{7}{10}+\frac{1}{2}\)
\(x=-\frac{1}{5}\)
a) x +2/10 =3/6 b) x -1/2 + 3/2 = 4/5
x = 3/6 -2/10 x - 1/2 = 4/5 -3/2
x = 3/10 x - 1/2 = -7/10
x = -7/10 +1/2
x = -1/5
(x-4):6=10+5
(x-4):6=15
(x-4)=15.6
x-4=90
x=90+4
x=94
Vậy x=94
Chúc bạn học tốt
(x-4) :6 = 10+5
(x-4) :6 =15
(x-4)=15/6
x=15/6 +4
x=13/2