Question

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

Answer 1

Correct, if 1/2(8x +14) =39, then x = 8

Explanation:

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

Solving for x: Multiplying both sides of the equation by 2

`2[(1)/(2)(8x+14)]=2(39)\\ 8x+14=78`

Subtracting 14 from both sides of the equation:

`8x+14-14=78-14\\ 8x=64`

Dividing both sides of the equation by 8:

`(8x)/(8)=(64)/(8)\\ x=8`