Question

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

Answer 1

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

Answer 2

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!

Answer 3

thanks so much!

Answer 4

np

Answer 5

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