Question

6-129. Nick represented the equation 3(2x+4)=-6 on the Equation Mat below. Choose a strategy to solve for x. You may continue to use algebra tiles, or you may use symbols on paper.

Answer 1

x = -3

Explanation:

You have the following equation:

`3(2x+4)=-6\\`

you first you distribution property in order to eliminate the parenthesis:

`3*2x+3*4=-6\\\\6x+12=-6`

next, you subtract 12 in both sides of the equation:

`6x+12-12=-6-12\\\\6x=-18`

Finally, you divide the equation by 6 and simplify:

`(6x)/(6)=-(18)/(6)\\\\x=-3`

hence, the solution to the equation is x = -3