Finite Math Examples

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

Step 1

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

Step 2

Simplify the right side.

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Step 2.1

Simplify $- 5 (x - 2)$ .

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Step 2.1.1

Apply the distributive property.

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

Step 2.1.2

Multiply $- 5$ by $- 2$ .

$y + 4 = - 5 x + 10$

Step 3

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

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Step 3.1

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

$y + 4 + 5 x = 10$

Step 3.2

Move $4$ .

$y + 5 x + 4 = 10$

Step 3.3

Reorder $y$ and $5 x$ .

$5 x + y + 4 = 10$

Step 4

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

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Step 4.1

Subtract $4$ from both sides of the equation.

$5 x + y = 10 - 4$

Step 4.2

Subtract $4$ from $10$ .

$5 x + y = 6$

Step 5