need ? i’m terrible with geometry, so an would be great to make me understand this more.

i’m trying to find what x equals to?

Explanation:

The alternate interior angles are congruent because of the parallel lines.

Set the angle expressions equal to each other. Solve for x.

12x+8 = 14x-2

12x+8-12x = 14x-2-12x subtract 12x from both sides

8 = 2x-2

8+2 = 2x-2+2 ... add 2 to both sides

10 = 2x

2x = 10

2x/2 = 10/2 ... divide both sides by 2

x = 5

As a check, plug this x value back into the original equation. After simplifying, you should get the same number on both sides.

12*x+8 = 14*x - 2

12*5+8 = 14*5-2 ... plug in x = 5

60+8 = 70-2

68 = 68

Both angles shown are 68 degrees, so we have confirmed the answer.