Algebra Examples

$y + 5 = - 2 (x - 4)$

Step 1

The general form of a linear equation is $A x + B y + C = 0$ .

Step 2

Simplify the right side.

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Step 2.1

Simplify $- 2 (x - 4)$ .

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Step 2.1.1

Apply the distributive property.

$y + 5 = - 2 x - 2 \cdot - 4$

Step 2.1.2

Multiply $- 2$ by $- 4$ .

$y + 5 = - 2 x + 8$

Step 3

Move all the expressions to the left side of the equation.

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Step 3.1

Add $2 x$ to both sides of the equation.

$y + 5 + 2 x = 8$

Step 3.2

Subtract $8$ from both sides of the equation.

$y + 5 + 2 x - 8 = 0$

Step 4

Simplify $y + 5 + 2 x - 8$ .

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Step 4.1

Subtract $8$ from $5$ .

$y + 2 x - 3 = 0$

Step 4.2

Reorder $y$ and $2 x$ .

$2 x + y - 3 = 0$

Step 5