To solve the equation \( 7 + 3a = 12 + 2a \) for \( a \), follow these steps:
1. Simplify the equation by isolating terms involving \( a \).
Start by subtracting \( 2a \) from both sides to keep the variable \( a \) on one side:
[tex]\[
7 + 3a - 2a = 12 + 2a - 2a
\][/tex]
Simplifying, this becomes:
[tex]\[
7 + a = 12
\][/tex]
2. Isolate \( a \) by moving the constant term to the other side.
Subtract 7 from both sides of the equation to isolate \( a \):
[tex]\[
7 + a - 7 = 12 - 7
\][/tex]
Simplifying this, we get:
[tex]\[
a = 5
\][/tex]
Thus, the solution to the equation \( 7 + 3a = 12 + 2a \) is:
[tex]\[
a = 5
\][/tex]
