Algebra Examples

$x w + 4 = x y + 8$

Step 1

Subtract $x y$ from both sides of the equation.

$x w + 4 - x y = 8$

Step 2

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

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Step 2.1

Subtract $4$ from both sides of the equation.

$x w - x y = 8 - 4$

Step 2.2

Subtract $4$ from $8$ .

$x w - x y = 4$

Step 3

Factor $x$ out of $x w - x y$ .

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Step 3.1

Factor $x$ out of $x w$ .

$x (w) - x y = 4$

Step 3.2

Factor $x$ out of $- x y$ .

$x (w) + x (- 1 y) = 4$

Step 3.3

Factor $x$ out of $x (w) + x (- 1 y)$ .

$x (w - 1 y) = 4$

Step 4

Rewrite $- 1 y$ as $- y$ .

$x (w - y) = 4$

Step 5

Divide each term in $x (w - y) = 4$ by $w - y$ and simplify.

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Step 5.1

Divide each term in $x (w - y) = 4$ by $w - y$ .

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

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $w - y$ .

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Step 5.2.1.1

Cancel the common factor.

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

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{4}{w - y}$