
Justification (Reasons): 
3(x  2) + 5x = 9x  24 
Given 
3x  6 + 5x = 9x  24 
Distributive Property 
3x + 5x  6 = 9x  24 
Commutative Property of Addition 
x(3 + 5)  6 = 9x  24 
Distributive Property in reverse 
x(8)  6 = 9x  24 
Addition 
8x  6 = 9x  24 
Commutative Property of Addition 
8x  8x  6 = 9x  8x  24 
Subtraction Property of Equality 
x(8  8)  6 = x(9  8)  24 
Distributive Property in reverse 
x(0)  6 = x(1)  24 
Additive Inverse Property (left side)
Subtraction (right side) 
0  6 = x  24 
Zero Property of Multiplication (left side)
Multiplicative Identity (right side) 
 6 = x  24 
Additive Identity Property 
6 + 24 = x  24 + 24 
Addition Property of Equality 
18 = x + 0 
Addition (left side)
Additive Inverse Property (right side) 
18 = x 
Additive Identity Property 