Question

|x+5|=3x-7

solve

Answer 1

Hint: If |a|=b then
a=b
a=-b

Answer 2

Can you take it from there @jigglyjello ?

Answer 3

x+5 = 3x-7
x=6

OR


x+5 = -3x+7
x=0.5

Answer 4

just 6

Answer 5

ok thank you

Answer 6

@Zarkon why is it just 6 ?

Answer 7

plug in .5 into the above equation...does it work...

Answer 8

@Zarkon but what's the flaw in the logic behind just doing\[|x|=a\implies x=a\vee x=-a;~~a\ge0\]

Answer 9

and what happens when \(a<0\)

Answer 10

oh! I see, it is a<0 for the other soln!
Hail Zarkon!