Solve for x 2x-3y=6

$2 x - 3 y = 6$

Step 1

Add $3 y$ to both sides of the equation.

$2 x = 6 + 3 y$

Step 2

Divide each term in $2 x = 6 + 3 y$ by $2$ and simplify.

Divide each term in $2 x = 6 + 3 y$ by $2$ .

$\frac{2 x}{2} = \frac{6}{2} + \frac{3 y}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{6}{2} + \frac{3 y}{2}$

Divide $x$ by $1$ .

$x = \frac{6}{2} + \frac{3 y}{2}$

Simplify the right side.

Divide $6$ by $2$ .

$x = 3 + \frac{3 y}{2}$