What is the justification for each step in the solution 4 (-6x-3) + 24 = - 72x + 132

Given 4 (-6x-3) + 24 = - 72x + 132 Distributived Property - 24x - 12 + 24 = - 72x + 132

you multiply 4 to - 6x and - 3

Combine Like terms - 96x + 12 = 132

you combined the one that has the same variable and no variable number like

(-72x) + (-24x) = - 96x

(-12) + 24 = 12

Subtraction Property of Equality - 96x = 120

subtract 12 on both sides, like this - 96 + 12-12 = 132-12 then you've got - 96x = 120

Division Property of Equality x = - 1.25

you divide - 96, like this - 96x/-96 = 120/-96, so you will got the x = - 1.25