Question

Fill in the blanks with the correct justification for each step of the solution to each equation.
negative 3​(2xplus​2)negative 3 x
equals
30
negative 6xnegative 6negative 3 x
equals
30
negative 9xnegative 6
equals
30
negative 9x
equals
36
x
equals
negative 4
Question content area bottom
Part 1
negative 3​(2xplus​2)negative 3 x
equals
30
negative 6xnegative 6negative 3 x
equals
30
▼
Change the sign of each term to remove the parentheses.
Use the distributive property to remove parentheses.
Combine like terms.
negative 9xnegative 6
equals
30
▼
negative 9x
equals
36
▼
Multiply both sides of the equation by 6.
Add minus 9 x to both sides of the equation.
Add 6 to both sides of the equation.
x
equals
negative 4
▼
Divide both sides by minus 9.
Add minus 9 to both sides of the equation.
Multiply both sides by minus 9.

Answer 1

Correct justifications for each step:

-3(2x + 2) - 3x = 30
-> -6x - 6 - 3x = 30 : Use the distributive property to remove parentheses.
-> -9x - 6 = 30 : Combine like terms.
-> -9x = 36 : Add 6 to both sides of the equation.
-> x = -4 : Divide both sides by -9.