Algebra Examples

y - 4 = - 2 (x + 7)

$y - 4 = - 2 (x + 7)$

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

- 2 (x + 7)

$- 2 (x + 7)$ .

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Step 2.1.1

Apply the distributive property.

y - 4 = - 2 x - 2 \cdot 7

$y - 4 = - 2 x - 2 \cdot 7$

Step 2.1.2

Multiply

- 2

$- 2$ by

7

$7$ .

y - 4 = - 2 x - 14

$y - 4 = - 2 x - 14$

y - 4 = - 2 x - 14

$y - 4 = - 2 x - 14$

y - 4 = - 2 x - 14

$y - 4 = - 2 x - 14$

Step 3

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

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Step 3.1

Add

2 x

$2 x$ to both sides of the equation.

y - 4 + 2 x = - 14

$y - 4 + 2 x = - 14$

Step 3.2

Move

- 4

$- 4$ .

y + 2 x - 4 = - 14

$y + 2 x - 4 = - 14$

Step 3.3

Reorder

y

$y$ and

2 x

$2 x$ .

2 x + y - 4 = - 14

$2 x + y - 4 = - 14$

2 x + y - 4 = - 14

$2 x + y - 4 = - 14$

Step 4

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

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Step 4.1

Add

4

$4$ to both sides of the equation.

2 x + y = - 14 + 4

$2 x + y = - 14 + 4$

Step 4.2

Add

- 14

$- 14$ and

4

$4$ .

2 x + y = - 10

$2 x + y = - 10$

2 x + y = - 10

$2 x + y = - 10$

Step 5