Solve for x 5x+y=-9y

$5 x + y = - 9 y$

Step 1

Move all terms not containing $x$ to the right side of the equation.

Subtract $y$ from both sides of the equation.

$5 x = - 9 y - y$

Subtract $y$ from $- 9 y$ .

$5 x = - 10 y$

Step 2

Divide each term in $5 x = - 10 y$ by $5$ and simplify.

Divide each term in $5 x = - 10 y$ by $5$ .

$\frac{5 x}{5} = \frac{- 10 y}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 10 y}{5}$

Divide $x$ by $1$ .

$x = \frac{- 10 y}{5}$

Simplify the right side.

Cancel the common factor of $- 10$ and $5$ .

Factor $5$ out of $- 10 y$ .

$x = \frac{5 (- 2 y)}{5}$

Cancel the common factors.

Factor $5$ out of $5$ .

$x = \frac{5 (- 2 y)}{5 (1)}$

Cancel the common factor.

$x = \frac{5 (- 2 y)}{5 \cdot 1}$

Rewrite the expression.

$x = \frac{- 2 y}{1}$

Divide $- 2 y$ by $1$ .

$x = - 2 y$