Plese, me understand this!

what is the value of x?

Explanation:

The angles shown are vertical angles. Any pair of vertical angles are always congruent (i.e. equal)

Set the two expressions equal to each other and solve for x.

2(x+10) = 3x-30

2x+20 = 3x-30 ... distribute

2x+20-2x = 3x-30-2x ... subtract 2x from both sides

20 = x-30

20+30 = x-30+30 ... add 30 to both sides

50 = x

x = 50

Check:

Plug x = 50 into the equation. Both sides should result in the same value

2(x+10) = 3x-30

2(50+10) = 3*50-30

2(60) = 3*50-30

120 = 150-30

120 = 120

The answer is confirmed.