Respuesta :

Answer:

Step-by-step explanation:

Step                    Statements                    Reasons

1.               [tex]-6=-\frac{2}{3}(x+12)+\frac{1}{3}x[/tex]             Given

2.               [tex]-6=-\frac{2}{3}x-8+\frac{1}{3}x[/tex]                 Distributive property

3.               [tex]-6=-\frac{1}{3}x-8[/tex]                          Combine like terms

4.                  [tex]2=-\frac{1}{3}x[/tex]                                Addition property of equality

5.                  -6 = x                                    Multiplication property of equality

6.                   x = -6                                   Symmetric property

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Answer:

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.

Step-by-step explanation:

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