Question

Please help me with this question so I can better explain this to my son thank you. Adelle solved the equation ½ (x + 8) = - 30 as shown. Fill in the correct justification for each step.Answer:StepJustification1/2(x+8)=-30Givenx/2+4= -30 ___________________________________blankx/2= -34___________________________________blankx=-68__________________________________________blank

Answer 1

we have the equation

step 1

(1/2)(x+8)=-30 --------> given

step 2

justification

Apply distributive property left side

(1/2)(x)+(1/2)(8)=-30

((x/2)+4=-30

step 3

justification

subtract 4 on both sides (subtraction equality property)

((x/2)+4-4=-30-4

x/2=-34

step 4

justification

Multiply on both sides by 2 (multiplication equality property )

2(x/2)=2(-34)

x=-68