Question

Solve for x: -3|2x + 6] = -12 (1 point)
OX= 1 and x = 5
Ox= -1 and x = -5
OX= -9 and x = 3
No solution

Answer 1

$\\ \sf\longmapsto -3|2x+6|=-12$

$\\ \sf\longmapsto |2x+6|=\dfrac{-12}{-3}=4$

#1

$\\ \sf\longmapsto 2x+6=4\implies 2x=-2\implies x=-1$

#2

$\\ \sf\longmapsto -(2x+6)=4\implies 2x+6=-4\implies 2x=-10\implies x=\dfrac{-10}{2}=-5$

Option B

Answer 2

Answer:

${ \tt{ - 3 |2x + 6| = - 12 }} \\ \\ { \tt{ |2x + 6| = 4 }} \\ \\ { \tt{2x = \{4 - 6 \} \: or \: \{4 + 6 \}}} \\ \\ { \tt{2x = - 2 \: \: or \: \: 10}} \\ \\ { \tt{x = - 1 \: \: or \: \: 5}}$