Question

What is x in the equation 4(x+6)= 5(x+9)+4x?

Answer 1

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