Question

Explain why the steps for solving equations are usually given as removing grouping symbols first, even though it is not necessarily the only way to solve. For example, the equation 2(x + 3) = 16 could be solved by dividing the equation through by 2 to get x + 3 = 8.

Answer 1

This is because simplifying the equation before solving it will lead you to the answer at a much faster rate. For example, in the given equation, the long way would be to distribute 2 to (x+3). Then, you transpose them and combine like terms. Until you get to x + 3 = 8. But if you simplify it first, you will see that it is straightforward. It will lead you to the answer right away which is x + 3 = 8. It saves you from the hassle of doing more algebra :)