To solve the equation 3x = 2x + 18, we need to isolate the variable x on one side of the equation.

Here's how we can solve it step by step:

Step 1: Start with the given equation: 3x = 2x + 18

Step 2: Subtract 2x from both sides of the equation to get rid of the 2x term on the right side: 3x - 2x = 2x + 18 - 2x

Simplifying, we have: x = 18

Step 3: Simplify the equation further: x = 18

Therefore, the solution to the equation 3x = 2x + 18 is x = 18.

Explanation:

The equation 3x = 2x + 18 is a linear equation with one variable, x. We are trying to find the value of x that satisfies the equation.

To solve the equation, we want to isolate the variable x on one side of the equation. We can do this by performing operations on both sides of the equation to keep it balanced.

In this case, we start by subtracting 2x from both sides of the equation. By doing this, we eliminate the 2x term on the right side.

After simplifying, we are left with x on the left side of the equation and 18 on the right side.

This means that the value of x that satisfies the equation is 18.