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a) 3x – 15 = 25 – 5x
=> 3x + 5x = 25 + 15
=> 8x = 40
=> x = 5
b) 3x - 17 = 2x – 7
=> 3x - 2x = -7 + 17
=> x = 10
c) 2x – 17 = – (3x – 18)
=> 2x - 17 = -3x + 18
=> 2x + 3x = 18 + 17
=> 5x = 35
=> x = 7
d) 3x – 14 = 2(x – 9) + 1
=> 3x - 14 = 2x - 18 + 1
=> 3x - 2x = -18 + 1 + 14
=> x = -3
f) (x – 5)2 = 9
\(\Rightarrow\left[{}\begin{matrix}x-5=3\\x-5=-3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=8\\x=2\end{matrix}\right.\)
a) Ta có: \(3x-15=25-5x\)
\(\Leftrightarrow3x-15-25+5x=0\)
\(\Leftrightarrow8x-40=0\)
\(\Leftrightarrow8x=40\)
hay x=5
Vậy: x=5
b) Ta có: \(3x-17=2x-7\)
\(\Leftrightarrow3x-17-2x+7=0\)
\(\Leftrightarrow x-10=0\)
hay x=10
Vậy: x=10
c) Ta có: \(2x-17=-\left(3x-18\right)\)
\(\Leftrightarrow2x-17=-3x+18\)
\(\Leftrightarrow2x-17+3x-18=0\)
\(\Leftrightarrow5x-35=0\)
\(\Leftrightarrow5x=35\)
hay x=7
Vậy: x=7
d) Ta có: \(3x-14=2\left(x-9\right)+1\)
\(\Leftrightarrow3x-14=2x-18+1\)
\(\Leftrightarrow3x-14-2x+18-1=0\)
\(\Leftrightarrow x+3=0\)
\(\Leftrightarrow x=-3\)
Vậy: x=-3
f) Ta có: \(\left(x-5\right)^2=9\)
\(\Leftrightarrow\left[{}\begin{matrix}x-5=3\\x-5=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=8\\x=2\end{matrix}\right.\)
Vậy: \(x\in\left\{2;8\right\}\)
a) \(55-4x-4\left(-x+3\right)=6-2\left(-8-3x\right)\)
\(55-4x+4x-12=6+16+6x\)
\(43-6-16=6x\)
\(6x=21\)
\(x=3,5\)
b) \(-5\left(-2x-6\right)-9\left(4-7x\right)=51-3x+6\left(x-9\right)\)
\(10x+30-36+63x=51-3x+6x-54\)
\(73x-6=-3+3x\)
\(73x-3x=-3+6\)
\(70x=3\)
\(x=\frac{3}{70}\)
c) \(93+\left|6-3x\right|-39=231\)
\(\left|6-3x\right|+54=231\)
\(\left|6-3x\right|=177\)
\(\Rightarrow\orbr{\begin{cases}6-3x=177\\6-3x=-177\end{cases}}\Rightarrow\orbr{\begin{cases}3x=6-177\\3x=6+177\end{cases}}\Rightarrow\orbr{\begin{cases}3x=-171\\3x=183\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-57\\x=61\end{cases}}\)
a) ( 2x - 5 ) + 17 = 6
( 2x - 5 ) = 6 - 17
( 2x - 5 ) = - 11
2x = - 11 + 5
2x = - 6
x = - 6 : 2
x = - 3
Vậy x = - 3
b) 10 - 2( 4 - 3x ) = - 4
2 ( 4 - 3x ) = 10 - ( -4 )
2 ( 4 -3x ) = 10 + 4 = 14
4 - 3x = 14 : 2 = 7
3x = 4 - 7 = -3
x = -3 : 3
x = - 1
Vậy x = - 1
c ) - 12 + 3 ( - x + 7 ) = - 18
3 ( - x + 7 ) = - 18 - ( - 12 )
3 ( - x + 7) = - 18 + 12 = - 6
( - x + 7 ) = - 6 : 3
- x + 7 = - 2
- x = - 2 - 7
- x = - 9
=> x = 9
Vậy x = 9
d) 24 : ( 3x - 2 ) = - 3
3x - 2 = 24 : ( - 3 )
3x - 2 = - 8
3x = - 8 + 2
3x = - 6
x = - 6 : 3
x = - 2
Vậy x = - 2
e ) - 45 : [ 5 . ( - 3 - 2x )] = 3 ( câu này bạn viết thiếu đe nha , làm mình tính mãi không ra )
5 . ( - 3 - 2x ) = - 45 : 3
5 . ( -3 - 2x ) = - 15
- 3 - 2x = - 15 : 5
- 3 - 2x = - 3
2x = - 3 - ( - 3 )
2x = - 3 + 3
2x = 0
=> x = 0
Vậy x = 0
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b: \(\Leftrightarrow x+8\in\left\{1;-1;5;-5\right\}\)
hay \(x\in\left\{-7;-9;-3;-13\right\}\)
`3^x +3^(x+2)=810`
`3^3 + 3^x 3^2 = 810`
`3^x .(1+3^2)=810`
`3^x . (1+9)=810`
`3^x . 10=810`
`3^x=810:10`
`3^x= 81`
`3^x =`\(\left(\pm3\right)^4\)
________________________
`2^x = (2^54 . 8) : 2^31`
`2^x = (2^54 . 2^3):2^31`
\(2^x=\left(2^{54+3}\right):2^{31}\)
`2^x =2^57 : 2^31`
`2^x = 2^26`
`=> x = 26`
a) 3x + 3x + 2 = 810
3x *1 + 3x * 32 = 810
3x * ( 1 + 9 ) = 810
3x * 10 = 810
3x = 810 : 10
3x = 81
Vậy x = 4
b) 2x = ( 254 . 8 ) : 231
2x = ( 254 . 23 ) : 231
2x = 257 : 231
2x = 226
Vậy x = 26