How do I solve for the following:

Directions solve each literal equation for the individual variable.

2x + 3y -6 (for x ) Linear equation

It has to equal something. What you have is a statement, not an equation.

To solve the given linear equation 2x + 3y - 6 = 0 for x, we need to isolate x on one side of the equation.

Step 1: Move the terms without x to the other side.
2x = -3y + 6

Step 2: Divide both sides by the coefficient of x, which is 2.
x = (-3y + 6) / 2

So, the solution to the equation 2x + 3y - 6 = 0 for x is x = (-3y + 6) / 2.