Write in Standard Form y+5=-5(x-3)

$y + 5 = - 5 (x - 3)$

Step 1

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

Step 2

Simplify the right side.

Simplify $- 5 (x - 3)$ .

Apply the distributive property.

$y + 5 = - 5 x - 5 \cdot - 3$

Multiply $- 5$ by $- 3$ .

$y + 5 = - 5 x + 15$

Step 3

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

Add $5 x$ to both sides of the equation.

$y + 5 + 5 x = 15$

Move $5$ .

$y + 5 x + 5 = 15$

Reorder $y$ and $5 x$ .

$5 x + y + 5 = 15$

Step 4

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

Subtract $5$ from both sides of the equation.

$5 x + y = 15 - 5$

Subtract $5$ from $15$ .

$5 x + y = 10$

Step 5