Solve for x 2xy=x+7

$2 x y = x + 7$

Step 1

Subtract $x$ from both sides of the equation.

$2 x y - x = 7$

Step 2

Factor $x$ out of $2 x y - x$ .

Factor $x$ out of $2 x y$ .

$x (2 y) - x = 7$

Factor $x$ out of $- x$ .

$x (2 y) + x \cdot - 1 = 7$

Factor $x$ out of $x (2 y) + x \cdot - 1$ .

$x (2 y - 1) = 7$

Step 3

Divide each term in $x (2 y - 1) = 7$ by $2 y - 1$ and simplify.

Divide each term in $x (2 y - 1) = 7$ by $2 y - 1$ .

$\frac{x (2 y - 1)}{2 y - 1} = \frac{7}{2 y - 1}$

Simplify the left side.

Cancel the common factor of $2 y - 1$ .

Cancel the common factor.

$\frac{x (2 y - 1)}{2 y - 1} = \frac{7}{2 y - 1}$

Divide $x$ by $1$ .

$x = \frac{7}{2 y - 1}$