Question

What is the reason for each step in the solution of the equation?

Answer 1

Consider the given equation

$18-2x = 4x$

We have to determine the reasons to the given steps for finding the solution to the given equation.

$18-2x+2x = 4x+2x$

The reason to the above step is "Additive property of Equality", which states that if the same amount is added to both sides of an equation, then the equality is still true.

$18=6x$

$\frac{18}{6}=\frac{6x}{6}$

x=3

The reason to the above step is "Division property of Equality",which states that if we divide both sides of an equation by the same nonzero number, the equation remains equal.

Answer 2

18 - 2x = 4x ....addition property....add 2x to both sides
18 = 6x .... division property...divide both sides by 6
3 = x