Question

Drag a statement or reason to each box to complete this proof.

this proof -2(x+1)=8, then x= -5

Answer 1

Explanation:

distribute the -2 to (x+1) you end up with -2x-2=8 (multiplication property). Add 2 to both sides to get rid of the -2 of the left (addition property). 8+2=10. -2x=10 divide the -2 to both sides. x=-5 (division property).

Answer 2

We have to prove that,

-2(x+1)=8, then x= -5

L.H.S.

`-2(x+1)=8`

By distributive property,

`-2x-2=8`

Adding 2 both sides ( Additive property of equality )

`-2x-2+2=8+2`

`-2x=10`

Divide both sides by -2 ( Division property of equality ),

`(-2x)/(-2)=(10)/(-2)`

`x=-5`

= R. H. S

Hence, proved....