Question

Choose the justification for each step in the solution of the given equation. Drag the labels to the correct locations on the table. Not all labels will be used.

Answer 1

To get from step 1 to step 2, apply the distributive property to eliminate the parentheses.

To get from step 2 to step 3, combine like terms on the right side of the equation.

To get from step 3 to step 4, apply the addition property of equality to isolate the variable term.

To get from step 4 to step 5, apply the multiplication property of equality to isolate the variable, x.

To get from step 5 to step 6, apply the symmetric property to rewrite the equation with the variable on the left side.

Explanation:

Answer 2

Explanation:

Step Statements Reasons

1.
`-6=-(2)/(3)(x+12)+(1)/(3)x` Given

2.
`-6=-(2)/(3)x-8+(1)/(3)x` Distributive property

3.
`-6=-(1)/(3)x-8` Combine like terms

4.
`2=-(1)/(3)x` Addition property of equality

5. -6 = x Multiplication property of equality

6. x = -6 Symmetric property