Answer:
x < -3
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
5 - 9(8 - 2x) < 2x - 115
Step 2: Distribute parenthesis
5 - 72 + 18x < 2x - 115
Step 3: Combine like terms
-67 + 18x < 2x - 115
Step 4: Add 67 on both sides
18x < 2x - 48
Step 5: Subtract 2x on both sides
16x < -48
Step 6: Divide both sides by 16
x < -3
And we have our answer!
Answer:
x<-3
Step-by-step explanation:
5−9(8−2x)<2x−115
Use the distributive property to multiply −9 by 8−2x.
5−72+18x<2x−115
Subtract 72 from 5 to get −67.
−67+18x<2x−115
Subtract 2x from both sides.
−67+18x−2x<−115
Combine 18x and −2x to get 16x.
−67+16x<−115
Add 67 to both sides.
16x<−115+67
Add −115 and 67 to get −48.
16x<−48
Divide both sides by 16. Since 16 is >0, the inequality direction remains the same.
x<-48/16
Divide −48 by 16
x<−3
