Algebra Examples

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

$A x + B y = C$ .

Step 2

Simplify the right side.

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Step 2.1

Simplify

- 5 (x - 3)

$- 5 (x - 3)$ .

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Step 2.1.1

Apply the distributive property.

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

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

Step 2.1.2

Multiply

- 5

$- 5$ by

- 3

$- 3$ .

y + 5 = - 5 x + 15

$y + 5 = - 5 x + 15$

y + 5 = - 5 x + 15

$y + 5 = - 5 x + 15$

y + 5 = - 5 x + 15

$y + 5 = - 5 x + 15$

Step 3

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

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Step 3.1

Add

5 x

$5 x$ to both sides of the equation.

y + 5 + 5 x = 15

$y + 5 + 5 x = 15$

Step 3.2

Move

5

$5$ .

y + 5 x + 5 = 15

$y + 5 x + 5 = 15$

Step 3.3

Reorder

y

$y$ and

5 x

$5 x$ .

5 x + y + 5 = 15

$5 x + y + 5 = 15$

5 x + y + 5 = 15

$5 x + y + 5 = 15$

Step 4

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

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Step 4.1

Subtract

5

$5$ from both sides of the equation.

5 x + y = 15 - 5

$5 x + y = 15 - 5$

Step 4.2

Subtract

5

$5$ from

15

$15$ .

5 x + y = 10

$5 x + y = 10$

5 x + y = 10

$5 x + y = 10$

Step 5