Solve for x 3x+2y=9

$3 x + 2 y = 9$

Step 1

Subtract $2 y$ from both sides of the equation.

$3 x = 9 - 2 y$

Step 2

Divide each term in $3 x = 9 - 2 y$ by $3$ and simplify.

Divide each term in $3 x = 9 - 2 y$ by $3$ .

$\frac{3 x}{3} = \frac{9}{3} + \frac{- 2 y}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{9}{3} + \frac{- 2 y}{3}$

Divide $x$ by $1$ .

$x = \frac{9}{3} + \frac{- 2 y}{3}$

Simplify the right side.

Simplify each term.

Divide $9$ by $3$ .

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

Move the negative in front of the fraction.

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