Pre-Algebra Examples

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

Step 1

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

Step 2

Simplify the right side.

Tap for more steps...

Step 2.1

Simplify $- 5 (x - 5)$ .

Tap for more steps...

Step 2.1.1

Apply the distributive property.

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

Step 2.1.2

Multiply $- 5$ by $- 5$ .

$y - 3 = - 5 x + 25$

Step 3

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

Tap for more steps...

Step 3.1

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

$y - 3 + 5 x = 25$

Step 3.2

Move $- 3$ .

$y + 5 x - 3 = 25$

Step 3.3

Reorder $y$ and $5 x$ .

$5 x + y - 3 = 25$

Step 4

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

Tap for more steps...

Step 4.1

Add $3$ to both sides of the equation.

$5 x + y = 25 + 3$

Step 4.2

Add $25$ and $3$ .

$5 x + y = 28$

Step 5