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**\(\dfrac{2x-5}{6}=\dfrac{x-7}{5}\Leftrightarrow\dfrac{6\left(2x-5\right)}{30}=\dfrac{5\left(x-7\right)}{30}\)
\(\Leftrightarrow6\left(2x-5\right)=5\left(x-7\right)\Leftrightarrow12x-30=5x-35\)
\(\Leftrightarrow12x-5x=-35+30\Leftrightarrow7x=-5\Leftrightarrow x=-\dfrac{5}{7}\)
**\(\dfrac{4x+1}{3}=\dfrac{2x-3}{4}\Leftrightarrow\dfrac{4\left(x+1\right)}{12}=\dfrac{3\left(2x-3\right)}{12}\)
\(\Leftrightarrow4\left(x+1\right)=3\left(2x-3\right)\Leftrightarrow4x+4=6x-9\)
\(\Leftrightarrow4x-6x=-9-4\Leftrightarrow-2x=-13\Leftrightarrow x=\dfrac{13}{2}\)

e) \(\left(x-3\right)\left(x^2+1\right)=0\)
\(\Rightarrow\left(x-3\right)=0\) ( \(x^2+1>0\forall x\))
\(\Rightarrow x=3\)
đ) \(4.8^2=2^x\)
\(2^2.\left(2^3\right)^2=2^x\)
\(2^2.2^6=2^x\)
\(2^8=2^x\)
\(\Rightarrow x=8\)
d) \(\left|x+3\right|=8\)
\(\Rightarrow\orbr{\begin{cases}x+3=8\\x+3=-8\end{cases}}\Rightarrow\orbr{\begin{cases}x=5\\x=-11\end{cases}}\)
mấy câu trên dễ rồi tự làm em nhé

e, \(18x-19=21+8x\)
\(\Rightarrow18x-8x=21+19\)
\(\Rightarrow10x=30\)
\(\Rightarrow x=3\)
Vậy \(x=3\)
g, \(18-4x=-20-6x\)
\(\Rightarrow-4x+6x=-20-18\)
\(\Rightarrow-2x=-38\)
\(\Rightarrow x=19\)
Vậy \(x=19\)
h, \(-15x-24=-7x-32\)
\(\Rightarrow-15x+7x=-32+24\)
\(\Rightarrow-8x=-8\)
\(\Rightarrow x=1\)
Vậy \(x=1\)
i, \(15x-3\left(4x-6\right)=-12+36\)
\(\Rightarrow15x-12x+18=-12+36\)
\(\Rightarrow7x=-12+36-18\)
\(\Rightarrow7x=6\)
\(\Rightarrow x=\frac{6}{7}\)
Vậy \(x=\frac{6}{7}\)
k, \(-10x-27=-7x+33\)
\(\Rightarrow-10x+7x=33+27\)
\(\Rightarrow-3x=60\)
\(\Rightarrow x=-20\)
m, \(-17x-24=-9x-40\)
\(\Rightarrow-17x+9x=-40+24\)
\(\Rightarrow-8x=-16\)
\(\Rightarrow x=2\)
Vậy \(x=2\)
n, \(-23x-25=-18x+75\)
\(\Rightarrow-23x+18x=75+25\)
\(\Rightarrow-5x=100\)
\(\Rightarrow x=-20\)
Vậy \(x=-20\)
p, \(-5x+7\left(2x-3\right)=4\left(x-4\right)\)
\(\Rightarrow-5x+14x-21=4x-16\)
\(\Rightarrow-5x+14x-4x=-16+21\)
\(\Rightarrow5x=5\)
\(\Rightarrow x=1\)
Vậy \(x=1\)
q, \(24-6\left(3x+1\right)=-5\left(4x-4\right)-8\)
\(\Rightarrow24-18x-6=-20x+20-8\)
\(\Rightarrow-18x+20x=20-8-24+6\)
\(\Rightarrow2x=-6\)
\(\Rightarrow x=-3\)
Vậy \(x=-3\)
r, \(18-4\left(6-2x\right)=-3\left(4x+5\right)-11\)
\(\Rightarrow18-24+8x=-12x-15-11\)
\(\Rightarrow8x+12x=-15-11-18+24\)
\(\Rightarrow20x=-20\)
\(\Rightarrow x=-1\)
Vậy \(x=-1\)
s, \(-5\left(4x-5\right)-14=6\left(2-3x\right)-10x-9\)
\(\Rightarrow-20x+25-14=12-18x-10x-9\)
\(\Rightarrow-20x+18x+10x=12-9+14-25\)
\(\Rightarrow8x=-8\)
\(\Rightarrow x=-1\)
Vậy \(x=-1\)
Chúc bạn hok tốt!!! tỷ tỷ
-3/4x-6=-1/2+1/5
-3/4x-6=-3/10
3/4x=-3/10+6
-3/4x=57/10
x=57/10:-3/4
x=-38/5