Consider the equation [tex]9 - 4x = 2x[/tex].

Which equation results from adding [tex]4x[/tex] to both sides to isolate the variable term?

A. [tex]9 - 2x = 4x[/tex]

B. [tex]9 = -2x[/tex]

C. [tex]9 = 6x[/tex]

D. [tex]4x = 2x - 9[/tex]



Answer :

Consider the initial equation:
[tex]\[ 9 - 4x = 2x \][/tex]

To isolate the variable term on one side, we add [tex]\(4x\)[/tex] to both sides of the equation. Here are the steps:

1. Start with the equation:
[tex]\[ 9 - 4x = 2x \][/tex]

2. Add [tex]\(4x\)[/tex] to both sides to move the variable term from the left side:
[tex]\[ 9 - 4x + 4x = 2x + 4x \][/tex]

3. Simplify both sides:
[tex]\[ 9 = 6x \][/tex]

The equation that resulted from adding [tex]\(4x\)[/tex] to both sides to isolate the variable term is:
[tex]\[ 9 = 6x \][/tex]

So, the correct answer is:
[tex]\[ 9 = 6x \][/tex]