Solve the Inequality for x 6x-9y>12

$6 x - 9 y > 12$

Add $9 y$ to both sides of the inequality.

$6 x > 12 + 9 y$

Divide each term in $6 x > 12 + 9 y$ by $6$ and simplify.

Divide each term in $6 x > 12 + 9 y$ by $6$ .

$\frac{6 x}{6} > \frac{12}{6} + \frac{9 y}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} > \frac{12}{6} + \frac{9 y}{6}$

Divide $x$ by $1$ .

$x > \frac{12}{6} + \frac{9 y}{6}$

Simplify the right side.

Simplify each term.

Divide $12$ by $6$ .

$x > 2 + \frac{9 y}{6}$

Cancel the common factor of $9$ and $6$ .

Factor $3$ out of $9 y$ .

$x > 2 + \frac{3 (3 y)}{6}$

Cancel the common factors.

Factor $3$ out of $6$ .

$x > 2 + \frac{3 (3 y)}{3 (2)}$

Cancel the common factor.

$x > 2 + \frac{3 (3 y)}{3 \cdot 2}$

Rewrite the expression.

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