Question

5-9(8 - 2x) < 2x - 115 solve for x​

Answer 1

x<-3

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

Answer 2

x < -3

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!