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]