Solve for x: |2x + 6| − 4 = 20

Question

anonymous · Answer

|x + 2| + 16 = 14 |x + 2| = 14-16 |x + 2| = -2 Since the absolute value of any number is nonnegative, this means that the last equation is not possible So there are no solutions.

solomonzelman · Answer

$\large\color{black}{|2x + 6| − 4 = 20    }$

$\large\color{black}{|2x + 6| − 4 \color{magenta}{+4}= 20\color{magenta}{+4}   }$

$\large\color{black}{|2x + 6|  = 24    }$

$\large\color{black}{|2(x +3)|  = 24    }$

$\large\color{black}{2|x +3|  = 24    }$

$\large\color{black}{2|x +3| \color{magenta}{\div 2} = 24  \color{magenta}{\div 2}   }$

$\large\color{black}{|x +3|  = 12    }$

$\large\color{black}{x +3  = 12 ~~~~~~or~~~~~x+3=-12    }$

$\large\color{black}{x   = 9 ~~~~~~~~~~~~~~~~~~~~~~~~x=-15    }$

anonymous · Answer

so my answer is no solution?

solomonzelman · Answer

why?? I gave you the solutions with steps....