Solve for x 6x+5y=-15

$6 x + 5 y = - 15$

Step 1

Subtract $5 y$ from both sides of the equation.

$6 x = - 15 - 5 y$

Step 2

Divide each term in $6 x = - 15 - 5 y$ by $6$ and simplify.

Divide each term in $6 x = - 15 - 5 y$ by $6$ .

$\frac{6 x}{6} = \frac{- 15}{6} + \frac{- 5 y}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{- 15}{6} + \frac{- 5 y}{6}$

Divide $x$ by $1$ .

$x = \frac{- 15}{6} + \frac{- 5 y}{6}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 15$ and $6$ .

Factor $3$ out of $- 15$ .

$x = \frac{3 (- 5)}{6} + \frac{- 5 y}{6}$

Cancel the common factors.

Factor $3$ out of $6$ .

$x = \frac{3 \cdot - 5}{3 \cdot 2} + \frac{- 5 y}{6}$

Cancel the common factor.

$x = \frac{3 \cdot - 5}{3 \cdot 2} + \frac{- 5 y}{6}$

Rewrite the expression.

$x = \frac{- 5}{2} + \frac{- 5 y}{6}$

Move the negative in front of the fraction.

$x = - \frac{5}{2} + \frac{- 5 y}{6}$

Move the negative in front of the fraction.

$x = - \frac{5}{2} - \frac{5 y}{6}$