Ok, assume it equals zero.

2x + 3y -6=0
subtract 3y from each side.
add six to each side.
divide both sides by two.

its how its in the book i'm suppost to solve for x. but how?

How do I solve for the following:

Directions solve each literal equation for the individual variable.

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

For Further Reading

math, algebra - bobpursley, Tuesday, December 19, 2006 at 1:58am
It has to equal something. What you have is a statement, not an equation.

To solve for x in the equation 2x + 3y - 6 = 0, follow these steps:

1. Start with the given equation: 2x + 3y - 6 = 0.
2. To isolate the x term, begin by subtracting 3y from both sides of the equation: 2x + 3y - 3y - 6 = 0 - 3y.
This simplifies to: 2x - 6 = -3y.
3. The next step is to add 6 to both sides of the equation to isolate the x term further: 2x - 6 + 6 = -3y + 6.
This simplifies to: 2x = -3y + 6.
4. Finally, to solve for x, divide both sides of the equation by 2: (2x)/2 = (-3y + 6)/2.
This simplifies to: x = (-3y + 6)/2.

Therefore, the solution for x is: x = (-3y + 6)/2.