How do you solve #|4x + 3| - 2= - 1#?

1 Answer
Jim G.
Mar 26, 2018

#x=-1" or "x=-1/2#

Explanation:

#"add 2 to both sides"#

#rArr|4x+3|=1#

#"the expression inside the absolute value can be positive"#
#"or negative"#

#color(magenta)"Positive expression"#

#4x+3=1larrcolor(blue)"subtract 3 from both sides"#

#rArr4x=-2larrcolor(blue)"divide both sides by 4"#

#rArrx=-1/2#

#color(magenta)"Negative expression"#

#-4x-3=1larrcolor(blue)"add 3 to both sides"#

#rArr-4x=4larrcolor(blue)"divide both sides by "-4#

#rArrx=-1#

#color(blue)"As a check"#

#x=-1/2rArr|-2+3|-2=1-2=-1color(white)(x)✔︎#

#x=-1rArr|-4+3|-2=1-2=-1color(white)(x)✔︎#

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