Question

Given:18x-2(3x+1)=5x-16
Prove:x=-2

(Include statements and reasons)

Answer 1

Step-by-step explanation:18x−2(3x+1)=5x−16

18x+(−2)(3x)+(−2)(1)=5x+−16

18x+−6x+−2=5x+−16

(18x+−6x)+(−2)=5x−16

12x+−2=5x−16

12x−2=5x−16

Step 2: Subtract 5x from both sides.

12x−2−5x=5x−16−5x

7x−2=−16

Step 3: Add 2 to both sides.

7x−2+2=−16+2

7x=−14

Step 4: Divide both sides by 7.

7x

7

=

−14

7

x=−2

Answer:

x=−2