Atticus S. | Atticus: Music and MathAtticus: Music and Math

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I am guessing a more complete representation of this equation would look like this: 3(A+2)=2(A-7)?

If so, the way to solve it would involve expanding the terms on either side of the equation, and then isolating the variable. To do this (we'll start with 3(A+2)), you multiply the number on the outside of the parentheses by each of the terms on the inside: so (3*A) plus (3*2) ends up with 3A+6. Then we have 2(A-7): (2*A) minus (2*-7) ends up with 2A-14. Make sense so far? After that, we put the expanded terms in their respective places: 3A+6=2A-14. Then, in order to isolate the variable, we subtract 2A from both sides (3A+6-2A=2A-14-2A), resulting in A+6=-14; then we further isolate the variable by subtracting 6 from both sides, resulting in
A=-20.

I hope that explanation will help you to figure out more equations with that principle.