solve each literal equation for the indicated variable

linear equation
for x
2x+3y=6
can some one give me a example and show me how the steps go to solve this problem please

Subtract 3y from both sides of the equation, and then divide both sides by 2.

To solve the given linear equation for x, which is 2x + 3y = 6, follow these steps:

Step 1: Start with the original equation: 2x + 3y = 6

Step 2: Isolate the x-term by subtracting 3y from both sides of the equation:

2x + 3y - 3y = 6 - 3y

Simplifying the equation, the y-term cancels out on the left side:

2x = 6 - 3y

Step 3: Divide both sides of the equation by 2 to isolate the x variable:

(2x) / 2 = (6 - 3y) / 2

On the left side, the 2 and the x cancel out:

x = (6 - 3y) / 2

So, the solution to the equation, solving for x, is x = (6 - 3y) / 2.