Question

What is the value of x? Enter your answer in the box. x =

Answer 1

x = 27

Explanation:

Since they are corresponding they have to be equal.

4x+7 = 5(x-4)

4x+7 = 5x-20 distribute the 5

7 = 5x-4x-20 bring the 4x over

7 = x-20 simplify the x

7+20= x bring the twenty over

27=x

Answer 2

27 =x

Explanation:

The two angles are vertical angles and vertical angles are equal

4x+7 = 5(x-4)

Distribute

4x+7 = 5x-20

Subtract 4x from each side

4x+7-4x = 5x-4x-20

7 = x-20

Add 20 to each side

7+20 = x-20+20

27 =x