Why is it important to keep two sides of an equation balanced when solving?

An important property of equations is one that states that you can add the same quantity to both sides of an equation and still maintain an equivalent equation.  If you think of an equation as being like a balance scale, the quantities on each side of the equation are equal, or balanced.

Step-by-step explanation:

a reflection across the x axis and a 90 degree rotation left and right.