Algebra Examples

$W = 2 x Y + 2 x Z$

Step 1

Rewrite the equation as $2 x Y + 2 x Z = W$ .

$2 x Y + 2 x Z = W$

Step 2

Factor $2 x$ out of $2 x Y + 2 x Z$ .

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Step 2.1

Factor $2 x$ out of $2 x Y$ .

$2 x (Y) + 2 x Z = W$

Step 2.2

Factor $2 x$ out of $2 x Z$ .

$2 x (Y) + 2 x (Z) = W$

Step 2.3

Factor $2 x$ out of $2 x (Y) + 2 x (Z)$ .

$2 x (Y + Z) = W$

Step 3

Divide each term in $2 x (Y + Z) = W$ by $2 (Y + Z)$ and simplify.

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Step 3.1

Divide each term in $2 x (Y + Z) = W$ by $2 (Y + Z)$ .

$\frac{2 x (Y + Z)}{2 (Y + Z)} = \frac{W}{2 (Y + Z)}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 x (Y + Z)}{2 (Y + Z)} = \frac{W}{2 (Y + Z)}$

Step 3.2.1.2

Rewrite the expression.

$\frac{x (Y + Z)}{Y + Z} = \frac{W}{2 (Y + Z)}$

Step 3.2.2

Cancel the common factor of $Y + Z$ .

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Step 3.2.2.1

Cancel the common factor.

$\frac{x (Y + Z)}{Y + Z} = \frac{W}{2 (Y + Z)}$

Step 3.2.2.2

Divide $x$ by $1$ .

$x = \frac{W}{2 (Y + Z)}$