Precalculus Examples

$2 x - 8 y + 4 = 0$

Step 1

Move all terms not containing $x$ to the right side of the equation.

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Step 1.1

Add $8 y$ to both sides of the equation.

$2 x + 4 = 8 y$

Step 1.2

Subtract $4$ from both sides of the equation.

$2 x = 8 y - 4$

Step 2

Divide each term in $2 x = 8 y - 4$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 x = 8 y - 4$ by $2$ .

$\frac{2 x}{2} = \frac{8 y}{2} + \frac{- 4}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{8 y}{2} + \frac{- 4}{2}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{8 y}{2} + \frac{- 4}{2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Cancel the common factor of $8$ and $2$ .

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Step 2.3.1.1.1

Factor $2$ out of $8 y$ .

$x = \frac{2 (4 y)}{2} + \frac{- 4}{2}$

Step 2.3.1.1.2

Cancel the common factors.

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Step 2.3.1.1.2.1

Factor $2$ out of $2$ .

$x = \frac{2 (4 y)}{2 (1)} + \frac{- 4}{2}$

Step 2.3.1.1.2.2

Cancel the common factor.

$x = \frac{2 (4 y)}{2 \cdot 1} + \frac{- 4}{2}$

Step 2.3.1.1.2.3

Rewrite the expression.

$x = \frac{4 y}{1} + \frac{- 4}{2}$

Step 2.3.1.1.2.4

Divide $4 y$ by $1$ .

$x = 4 y + \frac{- 4}{2}$

Step 2.3.1.2

Divide $- 4$ by $2$ .

$x = 4 y - 2$