solve the equation. (If there is no solution, enter NO SOLUTION.)
3|x + 8| + 2 = 17
x = ___ (smaller value)
x = ___ (larger value)

Question

solve the equation. (If there is no solution, enter NO SOLUTION.)
3|x + 8| + 2 = 17
x =	___  (smaller value)
x =	___  (larger value)

anonymous · Answer

subtract 2, divide by 3 to get 
$$|x+8|=5$$ then solve 
$$x+8=5$$ and 
$$x+8=-5$$

myininaya · Answer

3|x+8|+2-2=17-2
3|x+8|=15
|x+8|=5
so we have
x+8=5 or  x+8=-5
x=5-8           x=-5-8
x=-3               x=-13
--------------------------------
Check:
x=-3
3|-3+8|+2=3*5+2=17
so x=-3 works!
x=-13
3|-13+8|+2=3*5+2=17
so x=-13 works!

anonymous · Answer

thanks so much!

myininaya · Answer

np

anonymous · Answer

can you help with this one? Solve the equation. (If there is no solution, enter NO SOLUTION.)
|x − 7| = |3x + 8|