Question

Drag a reason to each box to complete this proof. If 1/2(8x+14)=39 , then x = 8.

Statement Reason
1/2(8x+14)=39 (Given)
4x + 7 = 39 ( )
4x = 32 ( )
x = 8 ( )

Answer 1

Distributive property

subtraction property of equality

division property of equality

Explanation:

Hello! I'm not the best at proofs but I think this might be the answer.

Basically, the step to get from 1/2(8x+14)=39 to 4x + 7 = 39 ( ) is to multiply whatever is inside the parenthesis with whats outside it right?

So we are distributing 8x+14 one half times. so that would mean the answer is to distribute, so it is the distributive property

I hope that made sense.

So then from there,

4x + 7 = 39

4x = 32

seven is being subtracted by both sides, so it is subtraction property of equality

and then finally to get the answer, four is divided by both sides to get x, making it division property.

Hope this helps!

Answer 2

Explanation:

We have given,

`(1)/(2)*(8x+14)=39`

Take out 2 from the left side and we multiply both side by 2 we get:

`(4x + 7) = 39`

Next,

subtract both sides by 7, we get :

`4x = 32`

Now we divide both sides by 4, to get x.

So we get, x = 8