Answer:
x=-3
Step-by-step explanation:
Solve:
9x+2(3x+7)= -31
multiply the "3x" and the "7" by two (distributive property)
[="6x" and "7"]
add the "9x" and the "6x" [="15x"]
subtract "14" from"-31" [= "-45"]
divide "15x" from "-45"
="-3"
Check:
put the "-3" in for "x"
multiply 9(-3) [=-27]
multiply 3(-3) [=-9]
distribute the 2 to the "-9" and the "7" [="-18" and "14"]
add the "-18" and "14" [=-4]
add the "-27" and the "-4"
=-31 ✓
What it looks like:
Solve:
9x+2(3x)+2(7)= -31
9x+6x+14= -31
15x+14= -31
-14 -14
15x= -45
/15= /15
x= -3
Check:
9x+2(3x+7)= -31
9(-3)+2(3(-3)+7= -31
-27+2(-9+7)= -31
-27+(2(-9)+2(7))= -31
-27+(-18+14)= -31
-27+ (-4)= -31
-31= -31✓
