Solve for x W=2xY+2xZ

$W = 2 x Y + 2 x Z$

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 $2 x Y + 2 x Z$ .

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

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

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

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

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.

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $Y + Z$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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