Question

Solve the literal equation |ax+b|=c for x.

Answer 1

Try this solution; note, this way is not the shortest one.

Answer 2

remember, |a|=|-a|=a

so if given |x|=y, then solve for x such that x=y or x=-y

for |ax+b|=c

solve cases

ax+b=c or ax+b=-c

minus b from both sides

ax=c-b or ax=-c-b

divide both sides by a

$x=\frac{c-b}{a}$ or $x=\frac{-c-b}{a}$

so $x=\frac{c-b}{a}$ or $x=\frac{-c-b}{a}$