Write in Standard Form y+5=7(x-8)

$y + 5 = 7 (x - 8)$

Step 1

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

Step 2

Simplify the right side.

Simplify $7 (x - 8)$ .

Apply the distributive property.

$y + 5 = 7 x + 7 \cdot - 8$

Multiply $7$ by $- 8$ .

$y + 5 = 7 x - 56$

Step 3

Rewrite the equation.

$7 x - 56 = y + 5$

Step 4

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

Subtract $y$ from both sides of the equation.

$7 x - 56 - y = 5$

Move $- 56$ .

$7 x - y - 56 = 5$

Step 5

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

Add $56$ to both sides of the equation.

$7 x - y = 5 + 56$

Add $5$ and $56$ .

$7 x - y = 61$

Step 6