Question

solve for x 4-(x+2)<-3(x+4)

Answer 1

Help

Answer 2

4 - (x + 2) < -3(x + 4) --- distribute through the parenthesis
4 - x - 2 < -3x - 12 -- combine like terms
2 - x < -3x - 12 -- add 3x to both sides
2 - x + 3x < -12 -- subtract 2 from both sides
-x + 3x < -12 - 2 -- combine like terms
2x < - 14 -- divide both sides by 2
x < - 7

check..
4 - (x + 2) < -3(x + 4)
4 - (-8 + 2) < -3(-8 + 4)
4 - (-6) < -3(-4)
4 + 6 < 12
10 < 12 (correct)

x < -7 (this is just saying that any number LESS THEN -7 is your solution)