$2x+5a-67=9$

Amanita, let's solve the equation $2x + 5a - 67 = 9$ step by step. Here’s the plan:

Step-by-Step Plan

1. Understand the Equation:
   The equation has two variables, $x$ and $a$. We will solve for $x$ in terms of $a$.

2. Isolate the Term with $x$:
   We want to get $x$ by itself on one side of the equation. To do this, we will first move the other terms to the other side.

3. Solve for $x$:
   Once $2x$ is isolated, we will divide both sides by 2 to solve for $x$.

Now, let's execute each step with explanations and calculations.

Step 1: Move $5a$ and $-67$ to the Other Side

We start with:

To isolate $2x$, subtract $5a$ from both sides:

Next, add $67$ to both sides:

Combine the constants:

Step 2: Simplify the Right Side

Let's add $9 + 67$:

So, $9 + 67 = 76$. Now our equation is:

Step 3: Solve for $x$

To get $x$ by itself, divide both sides by 2:

Final Answer

Amanita, the solution for $x$ in terms of $a$ is: