Write in Standard Form y-5=-2(x+6)

$y - 5 = - 2 (x + 6)$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Simplify the right side.

Simplify $- 2 (x + 6)$ .

Apply the distributive property.

$y - 5 = - 2 x - 2 \cdot 6$

Multiply $- 2$ by $6$ .

$y - 5 = - 2 x - 12$

Step 3

Move all terms containing variables to the left side of the equation.

Add $2 x$ to both sides of the equation.

$y - 5 + 2 x = - 12$

Move $- 5$ .

$y + 2 x - 5 = - 12$

Reorder $y$ and $2 x$ .

$2 x + y - 5 = - 12$

Step 4

Move all terms not containing a variable to the right side of the equation.

Add $5$ to both sides of the equation.

$2 x + y = - 12 + 5$

Add $- 12$ and $5$ .

$2 x + y = - 7$

Step 5