What is x in the equation

4 (x+6) = 5 (x+9) + 4x?

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