Hello there!
4(x + 6) = 5( x + 9) + 4x
We wanna start with the distributive property
(4)(x) + (4)(6) = (5)(x) + (5)(9) + 4x
4x + 24 = 5x + 45 + 4x
4x + 24 = 9x + 45
Subtract 24 on both sides
4x + 24 - 24 = 9x + 45 - 24
4x = 9x + 21
Subtract 9x on both sides
4x - 9x = 9x + 21 - 9x
-5x = 21
Divide both sides by -5
-5x/-5 = 21/-5
x = -21/5
45 + ( 10 / 100 ) * 45 = 49.5 > 45 No
40 + ( 5 / 100 ) * 40 = 42 < 45 Yes
50 - ( 20 / 100 ) * 50 = 40 < 45 Yes
36 + ( 15 / 100 ) * 36 = 41.4 < 45 Yes
I remember doing this it was fun.
First

Then

To get

So...


To get y = 4.


Next

Finally

Therefore our solutions are y = 4, x = 3