23 - 3|2x + 6| = -7
=> 3|2x + 6| = 23 + 7
=> 3|2x + 6| = 30
=> |2x + 6| = 30 : 3
=> |2x + 6| = 10
=> 2x + 6 = 10 hoặc 2x + 6 = -10
+) Nếu 2x + 6 = 10
=> 2x = 10 - 6
=> 2x = 4
=> x = 4 : 2 = 2
+) Nếu 2x + 6 = -10
=> 2x = -10 - 6
=> 2x = -16
=> x = -16 : 2 = -8
Vậy x = 2; x = -8
\(23-3\left|2x+6\right|=-7\)
\(\Rightarrow3\left|2x+6\right|=23+7\)
\(\Rightarrow3\left|2x+6\right|=30\)
\(\Rightarrow\left|2x+6\right|=10\)
\(\Rightarrow\left|2x\right|=4\)
\(\Rightarrow\left|x\right|=2\)
\(\Rightarrow\left[\begin{matrix}x=2\\x=-2\end{matrix}\right.\)
Vậy, x = 2 hoặc x = -2.
23-3./2x + 6/= -7
3./2x+6/=23-(-7)
3./2x + 6/=30
/2x+6/= 30:3
/2x+6/=10
Trường hợp 1:
2x + 6 = 10
2x = 10 - 6
2x = 4
x = 4:2
=> x = 2
Trường hợp 2:
2x + 6 = -10
2x = -10 - 6
2x = -16
x = -16 : 2
=> x = -8
Vậy x = 2 ; x = -8