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Ta có : \(\left|5x-4\right|=\left|x+2\right|\)
\(\Leftrightarrow\orbr{\begin{cases}5x-4=x+2\\5x-4=-x-2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}5x-x=2+4\\5x+x=-2+4\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}4x=6\\6x=2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{3}{2}\\x=\frac{1}{3}\end{cases}}\)
b) \(\left|2x-3\right|-\left|3x+2\right|=0\)
\(\Rightarrow\orbr{\begin{cases}2x-3=3x+2\\2x-3=-3x-2\end{cases}\Rightarrow\orbr{\begin{cases}2x-3x=2+3\\2x+3x=-2+3\end{cases}\Rightarrow}\orbr{\begin{cases}-x=5\\5x=1\end{cases}\Rightarrow}\orbr{\begin{cases}x=-5\\x=\frac{1}{5}\end{cases}}}\)
c)/2+3x/=/4x-3/
\(\Rightarrow\orbr{\begin{cases}2+3x=4x-3\\2+3x=-\left(4x-3\right)\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}3x-4x=-3-2\\3x+4x=3-2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}-x=-5\\7x=1\end{cases}\Rightarrow\orbr{\begin{cases}x=5\\x=\frac{1}{7}\end{cases}}}\)
d)/7x+1/-/5x+6|=0
\(\Rightarrow\left|7x+1\right|=\left|5x+6\right|\)
\(\Rightarrow\orbr{\begin{cases}7x+1=5x+6\\7x+1=-\left(5x+6\right)\end{cases}\Rightarrow\orbr{\begin{cases}7x-5x=6-1\\7x+1=-5x-6\end{cases}\Rightarrow}\orbr{\begin{cases}2x=5\\7x+5x=-6-1\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{5}{2}\\x=-\frac{7}{12}\end{cases}}}\)
1) \(\Rightarrow\left[{}\begin{matrix}x=-3\\x=5\end{matrix}\right.\)
2) \(\Rightarrow5\left(x-2\right).3\left(x+2\right)=0\Rightarrow\left[{}\begin{matrix}x=2\\x=-2\end{matrix}\right.\)
3) \(\Rightarrow2\left(x-4\right)\left(x-7\right)=0\Rightarrow\left[{}\begin{matrix}x=4\\x=7\end{matrix}\right.\)
\(a,\left(3-x\right)+\left(4-x\right)+2x-5=3-x+4-x+2x-5=2\)
\(b,\left(x+5\right)-\left(x-6\right)+2-5x=x+5-x+6+2-5x=13-5x\)
\(c,\left(x-3\right)-\left(2+x\right)+\left(4-x\right)=x-3-2-x+4-x=-x-1\)
\(d,\left(2x-2\right)-\left(-3x-3\right)+\left(x-5\right)=2x-2+3x+3+x-5=6x-4\)
\(e,\left(6-2x\right)+\left(-x+7\right)-\left(3x-8\right)+9=6-2x-x+7-3x+8+9=-6x+30\)
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`Answer:`
\(12x-144=0\)
\(\Leftrightarrow12x=144\)
\(\Leftrightarrow x=144:12\)
\(\Leftrightarrow x=12\)
\(5x-32:18=13\)
\(\Leftrightarrow5x-\frac{16}{9}=13\)
\(\Leftrightarrow5x=13+\frac{16}{9}\)
\(\Leftrightarrow5x=\frac{133}{9}\)
\(\Leftrightarrow x=\frac{133}{9}:5\)
\(\Leftrightarrow x=\frac{133}{45}\)
\(3x+6=15\)
\(\Leftrightarrow3x=9\)
\(\Leftrightarrow x=3\)
a. 8 . 2x - 5 - 32 = 119
8 . 2x - 5 - 9 = 119
8 . 2x - 5 = 119 + 9
8 . 2x - 5 = 128
2x - 5 = 128 : 8
2x - 5 = 16
2x - 5 = 24 (cùng cơ số)
x - 5 = 4
x = 4 + 5; x = 9
b. 5x + 2x = 62 - 50
7x = 36 - 1
7x = 35
x = 5
\(5x+1\text{⋮}2x+3\)
\(\text{⇒}2\left(5x+1\right)\text{⋮}2x+3\)
\(\text{⇒}10x+2\text{⋮}2x+3\)
\(\text{⇒}10x+15-13\text{⋮}2x+3\)
\(\text{⇒}5\left(2x+3\right)-13\text{⋮}2x+3\)
\(\text{⇒}13\text{⋮}2x+3\)
\(\text{⇒}2x+3\text{∈}Ư\left(13\right)=\left\{13;-13;1;-1\right\}\)
\(\text{⇒}2x\text{∈ }\left\{10;-16;-2;-4\right\}\)
\(\text{⇒}x\text{∈}\left\{5;-8;-1;-2\right\}\)
Vậy \(x\text{∈}\left\{5;8;-1;-2\right\}\)
2x+6=5x-3
=>-3x=-9
=>x=3
vậy x=3