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4 + x = 7 - 2x
4 + x + 2x = 7
4 + 3x = 7
3x = 7 - 4
3x = 3
x = 3 : 3
x =1
5 + x = 8,3 + 4,7 - x
5 + x + x = 8,3 + 4,7
5 + 2x = 13
2x = 13 - 5
2x = 8
x = 8 : 2
x= 4
a) \(15-5\left|x+4\right|=-12-3\)
\(\Leftrightarrow5\left|x+4\right|=30\)
\(\Leftrightarrow\left|x+4\right|=6\)
\(\Leftrightarrow\orbr{\begin{cases}x+4=6\\x+4=-6\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-10\end{cases}}\)
b) \(\left(4x-8\right)\left(7-x\right)=0\Leftrightarrow\orbr{\begin{cases}4x-8=0\\7-x=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=7\end{cases}}\)
c) \(\left(x^2-36\right)\left(x^2+5\right)=0\Rightarrow\left(x-6\right)\left(x+6\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-6=0\\x+6=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=6\\x=-6\end{cases}}\)
d) \(-3\left(x+7\right)-11=2\left(x+5\right)\)
\(\Leftrightarrow-3x-32=2x+10\)
\(\Leftrightarrow5x=-42\Rightarrow x=-\frac{42}{5}\)
\(\dfrac{1}{2}\times\dfrac{1}{3}+\dfrac{1}{3}\times\dfrac{1}{4}+\dfrac{1}{4}\times\dfrac{1}{5}+\dfrac{1}{5}\times\dfrac{1}{6}\)
\(=\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+\dfrac{1}{4\times5}+\dfrac{1}{5\times6}\)
\(=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}\)
\(=\dfrac{1}{2}-\dfrac{1}{6}\)
\(=\dfrac{3}{6}-\dfrac{1}{6}\)
\(=\dfrac{2}{6}=\dfrac{1}{3}\)
1/2 x 1/3 + 1/3 x 1/4 + 1/4 x 1/5 + 1/5 x 1/6
= 1/6 + 1/12 + 1/20 + 1/30
= (10/60) + (5/60) + (3/60) + (2/60)
= 20/60 + 10/60 + 6/60 + 4/60
= 40/60
= 2/3
Vậy giá trị của biểu thức là 2/3.
(82 - 5.x) : 13 - 4 = 0
(82 - 5.x) : 13 = 0 + 4
(82 - 5.x) : 13 = 4
(82 - 5.x) = 4 . 13
(82 - 5.x) = 52
5.x = 82 - 52
5.x = 30
x = 30 : 5 = 6
(32 . 45) : 2 = (x + 70) : 14 - 40
720 = (x + 70) : 14 - 40
(x + 70) : 14 = 720 + 40
(x + 70) : 14 = 760
(x + 70) = 760 . 14
(x + 70) = 10640
x = 10640 - 70
x = 10570
a. \(\frac{3}{4}\times x+\frac{5}{6}\times x-\frac{5}{2}=7\)
\(x\times\left(\frac{3}{4}+\frac{5}{6}\right)=7+\frac{5}{2}\)
\(x\times\left(\frac{9}{12}+\frac{10}{12}\right)=\frac{14}{2}+\frac{5}{2}\)
\(x\times\frac{19}{12}=\frac{19}{2}\)
\(x=\frac{19}{2}\div\frac{19}{12}\)
\(x=\frac{19}{2}\times\frac{12}{19}\)
\(x=6\)
b) \(12\times x-12\times84=0\)
\(12\times x=12\times84\)
\(x=84\)
bài2 \(x\times\dfrac{15}{16}-x\times\dfrac{4}{16}=2\)
\(x\times\dfrac{11}{16}=2\)
\(x=2:\dfrac{11}{16}\)
\(x=\dfrac{32}{11}\)
Bài 1 :
\(\dfrac{x}{16}\times\left(2017-1\right)=2\)
\(\dfrac{x}{16}\times2016=2\)
\(\dfrac{x}{16}=\dfrac{2}{2016}\)
\(x=\dfrac{2}{2016}\times16\)
\(x=\dfrac{1}{63}\)
(3 -x ) . ( 4 - x ) . ( 5 - x ) = 0
⇒ 3 - x = 0 hoặc 4 - x = 0 hoặc 5-x = 0
⇒ x = 3 hoặc x = 4 hoặc x = 5
Vậy x = 3 hoặc x = 4 hoặc x = 5 .
\(\text{∘ Ans}\)
\(\downarrow\)
\(\left(3-x\right)\cdot\left(4-x\right)\cdot\left(5-x\right)=0\)
`TH1:`
`3 - x = 0`
`\Rightarrow x = 3-0`
`\Rightarrow x = 3`
`TH2:`
`4 - x = 0`
`\Rightarrow x = 4 - 0`
`\Rightarrow x = 4`
`TH3:`
`5 - x = 0`
`=> x = 5 - 0`
`=> x = 5`
Vậy, `x = {3; 4; 5}.`