Hello!
2(x + 9) = 4(x + 7) + 2
Distribute the 2
2x + 18 = 4(x + 7) + 2
Distribute the 4
2x + 18 = 4x + 28 + 2
Combine like terms
2x + 18 = 4x + 30
Subtract 18 from both sides
2x = 4x + 12
Subtract 4x from both sides
-2x = 12
Divide both sides by -2
x = -6
Where she did something different than me is her mistake
Hope this helps!
