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\(\frac{1}{2}x+\frac{3}{5}.\left(x-2\right)=3\)
\(\frac{1}{2}.x+\frac{3}{5}.x-\frac{6}{5}=3\)
\(\frac{11}{10}x-\frac{6}{5}=3\)
\(\frac{11}{10}x=\frac{21}{5}\)
\(x=\frac{42}{11}\)

a)
\(\frac{x-2}{4}=\frac{x+5}{-3}\)
\(\Rightarrow\frac{-3.\left(x-2\right)}{4.\left(-3\right)}=\frac{4.\left(x+5\right)}{4.\left(-3\right)}\)
\(\Rightarrow\frac{-3x+6}{-12}=\frac{4x+20}{-12}\)
\(\Rightarrow-3x+6=4x+20\)
\(\Rightarrow-3x-4x=20-6\)
\(\Rightarrow-7x=14\)
\(\Rightarrow x=-2\)
b)
\(\frac{x}{3}=\frac{27}{x}\)
\(\Rightarrow x.x=3.27\)
\(\Rightarrow x^2=81\)
\(\Rightarrow\orbr{\begin{cases}x=9\\x=-9\end{cases}}\)
T**k mik nhé!

3^2.(x+4)-5^2=5.2^2.
9.(x+4)-25=5.4
9.(x+4)-25=20
9.(x+4)=20+25
9.(x+4)=45
(x+4)=45:9
(x+4)=5
x=5-4
x=1
vậy x=1
k mk nha
\(3^2.\left(x+4\right)-5^2=5.2^2\)
\(9.\left(x+4\right)-25=20\)
\(9.\left(x+4\right)=20+25\)
\(9.\left(x+4\right)=45\)
\(x+4=45:9\)
\(x+4=5\)
\(x=5-4\)
\(x=1\)

\(A=5\left(x+1\right)^2+\left|y-3\right|-1\ge-1\forall x,y\)
Dấu '=' xảy ra khi x=-1 và y=3

( 3x - 34 ). 63 = 65
( 3x - 34 ) = 65 : 63
(3x - 3^4 ) = 6^3 = 216
3x = 216 - 81 = 135
x = 135 : 3 = 45

Bài làm:
Ta có: \(3^{2x+2}=9^{x+3}\)
\(\Leftrightarrow\left(3^2\right)^{x+1}=9^{x+3}\)
\(\Leftrightarrow9^{x+1}=9^{x+3}\)
\(\Rightarrow x+1=x+3\)
\(\Rightarrow0x=-2\) (vô lý)
Vậy không tồn tại x thỏa mãn PT

\(\left(\frac{3}{4}x\right):\frac{1}{2}=\frac{4}{5}\)
=>\(\frac{3}{4}x=\frac{4}{5}.\frac{1}{2}\)
=>\(\frac{3}{4}x=\frac{2}{5}\)
=>\(x=\frac{2}{5}:\frac{3}{4}\)
=>\(x=\frac{8}{15}\)
\(\left(\frac{3}{4}.x\right)=\frac{4}{5}.\frac{1}{2}\)
\(\left(\frac{3}{4}.x\right)=\frac{2}{5}\)
\(\Rightarrow x=\frac{2}{5}:\frac{3}{4}=\frac{8}{15}\)
k nha

\(a,2x+5=x-1+\left(x+3\right)-\left(x-3\right)\)
\(2x+5=x-1+x+3-x+3\)
\(2x-x-x+x=-1+3+3-5\)
\(3x=0\Leftrightarrow x=0\)
5/3 - 2/3 . x = -2
=> 2/3 .x = 5/3 - (-2)
=> 2/3 . x = 5/3 + 2
=> 2/3 . x = 11/3
=> x = 11/3 : 2/3
=> x = 11/2
Vậy x = 11/2
\(\frac53\) - \(\frac23x=-2\)
\(\frac23x=\frac53+2\)
\(\frac23x=\frac{11}{3}\)
\(x=\frac{11}{3}:\frac23\)
\(x=\frac{11}{3}.\frac32\)
\(x=\frac{11}{2}\)