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4x-2x+x-27:9=33
2x+x-27:9=33
3x-27:9=33
3x-27=33×9=297
3x=297+27=324
x=324÷3=108
\(-x+3=2x+9\\ \Rightarrow-x-2x=9-3\\ \Rightarrow-3x=6\\ \Rightarrow x=-\dfrac{6}{3}\\ \Rightarrow x=-2\)
Vậy \(x=-2\)
\(-x-5=-2x+11\\ \Rightarrow-x+2x=11+5\\ \Rightarrow x=16\)
Vậy \(x=16\)
a) \(\left(2x+3\right)^3=\left(2x+3\right)^8\)
\(\left(2x+3\right)^8-\left(2x+3\right)^3=0\)
\(\left(2x+3\right)^3.\text{ }\left[\left(2x+3\right)^5-1\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left(2x+3\right)^3=0\\\left(2x+3\right)^5-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}2x+3=0\\\left(2x+3\right)^5=1\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-\frac{3}{2}\\x=-1\end{cases}}}\)
Vậy \(x=-\frac{3}{2}\) hoặc \(x=-1\)
Câu b tương tự
c) \(\left|5-3x\right|=\left|11x+2\right|\)
\(\Rightarrow\orbr{\begin{cases}5-3x=11x+2\\5-3x=-11x-2\end{cases}\Leftrightarrow\orbr{\begin{cases}11x+3x=2-5\\-3x+11x=-2+5\end{cases}\Leftrightarrow\orbr{\begin{cases}14x=-3\\8x=3\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-\frac{3}{14}\\x=\frac{3}{8}\end{cases}}}}\)
Vậy \(x=-\frac{3}{14}\)hoặc \(x=\frac{8}{3}\)
a; -2\(x\) - 3.(\(x-17\)) = 34 - 2.( - \(x\) + 25)
- 2\(x\) - 3\(x\) + 51 = 34 + 2\(x\) - 50
2\(x\) + 2\(x\) + 3\(x\) = - 34 + 50 + 51
7\(x\) = 67
\(x\) = 67 : 7
\(x\) = \(\dfrac{67}{7}\)
Vậy \(x\) = \(\dfrac{67}{7}\)
b; 17\(x\) + 3.(- 16\(x\) - 37) = 2\(x\) + 43 - 4\(x\)
17\(x\) - 48\(x\) - 111 = 2\(x\) - 4\(x\) + 43
- 31\(x\) - 2\(x\) + 4\(x\) = 111 + 43
- \(x\) x (31 + 2 - 4) = 154
- \(x\) x (33 - 4) = 154
- \(x\) x 29 = 154
- \(x\) = 154 : (-29)
\(x\) = - \(\dfrac{154}{29}\)
Vậy \(x=-\dfrac{154}{29}\)
\(a,\Rightarrow\left(4x-1\right)^2=25=5^2=\left(-5\right)^2\\ \Rightarrow\left[{}\begin{matrix}4x-1=5\\4x-1=-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-1\end{matrix}\right.\\ b,\Rightarrow2^x\left(1+2^3\right)=144\\ \Rightarrow2^x=144:9=16=2^4\Rightarrow x=4\\ c,\Rightarrow3^{2x+3}=3^{2\left(x+3\right)}\\ \Rightarrow2x+3=2x+6\Rightarrow0x=3\left(vô.lí\right)\\ \Rightarrow x\in\varnothing\)
a). 3. |9 - 2x| - 17 = 16
3. |9 - 2x| = 16 + 17
3. |9 - 2x| = 33
|9 - 2x| = 33 : 3
|9 - 2x| = 11
=> 9 - 2x = 11
2x = 9 - 11
2x = -2
x = - 2 : 2
x = - 1
hay 9 - 2x = - 11
2x = 9 - (- 11)
2x = 9 + 11
2x = 20
x = 20 : 2
x = 10
Vậy x = -1; x = 10
a) 3.| 9 - 2x | -17 = 16
3. | 9 - 2x | = 16 + 17 = 33
| 9 - 2x | = 33 : 3 = 11
\(\Rightarrow\)9 - 2x = 11 hoặc 9 - 2x = -11
2x = 9 - 11 2x = 9 - ( - 11 )
2x = -2 2x = 20
x = -2 : 2 x = 20 : 2
x = -1 x = 10
a: =>-2x=9-17=-8
hay x=4
b: =>15-x=-10
hay x=25
d: \(\Leftrightarrow9x^2=81\)
hay \(x\in\left\{3;-3\right\}\)
e: \(\Leftrightarrow\left[{}\begin{matrix}2x-4=0\\3-x=0\end{matrix}\right.\Leftrightarrow x\in\left\{2;3\right\}\)
2x + 3=9
2x=9-3
2x=6
x=6:2
x=3
Bổ sung kết luận: \(x=3\)