The answer is False
Explanation:
The expression is [tex]7-|4 x+1|=-2[/tex]
The first step in solving the expression is to bring the expression in the form [tex]x=a\ or\ x=-a[/tex]
Thus, writing the expression in the form of [tex]x=a\ or\ x=-a[/tex]
Thus, the first step is to write the expression in the form of [tex]x=a\ or\ x=-a[/tex]
Thus, Subtracting both sides of the equation by 7, we get,
[tex]-|4 x+1|=-9[/tex]
Dividing both sides by -1, we get,
[tex]|4 x+1|=9[/tex]
Thus, we have,
[tex]4x+1=9 \ or \ 4x+1=-9[/tex]
Hence, the first step of the expression is [tex]4x+1=9 \ or \ 4x+1=-9[/tex] which is not equivalent to the equation [tex]7-4 x+1=-2[/tex] and [tex]7-4 x+1=2[/tex]
Hence, the answer is false.