To solve the equation [tex]\( x - 2y = 3 \)[/tex] for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. Here is the step-by-step solution:
1. Start with the given equation:
[tex]\[
x - 2y = 3
\][/tex]
2. To isolate [tex]\( x \)[/tex], add [tex]\( 2y \)[/tex] to both sides of the equation:
[tex]\[
x - 2y + 2y = 3 + 2y
\][/tex]
3. Simplifying the left side, we get:
[tex]\[
x = 3 + 2y
\][/tex]
Hence, the solution for [tex]\( x \)[/tex] is:
[tex]\[
x = 2y + 3
\][/tex]
Therefore, the correct choice from the given options is:
[tex]\[
x = 2y + 3
\][/tex]