230. When solving an equation with variables on both sides, why is it usually better to choose the side with the larger coefficient of x to be the “variable” side?

given,

it is usually better to choose the side with the larger coefficient of x to be the “variable” side.

Strategy for Solving an Equation with Variables and Constants:

1. Choose which side will be the "flexible" side - the other side will be the "continuous" side.
2. Collect flexible words on the “flexible” side of the calculation, using the Add-On or Subtraction Structure.
3. Collect all the constants on the other side of the calculation, using the Add-on or Exit Properties Properties.
4. Make the difference coefficient equal to 1, using Multiplication or Equivalent Structure.
5. Check the solution by replacing the original calculation.

The reason is to choose the side with the larger coefficient of x to be the “variable” side because it makes it easy to solve equations. In this way on the variable side, its coefficient will be positive which will avoid sign confusion and make solving equations easy.