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

Step-by-step explanation:

1) Write 8x+14 as 2(4x+7) and now multiply by 1/2 so that we get 4x+7

2)Subtract 7 from both sides

4x+7=39

-7       -7

4x=32

3) Divide by 8

x=8

Thus we get x=8 as answer

So reasons are

i) Distributive property

ii) Subtraction property of equality

iii) Division property of equality

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.