Solve for x 2x-10=7+y

$2 x - 10 = 7 + y$

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

Add $10$ to both sides of the equation.

$2 x = 7 + y + 10$

Add $7$ and $10$ .

$2 x = y + 17$

Divide each term in $2 x = y + 17$ by $2$ and simplify.

Divide each term in $2 x = y + 17$ by $2$ .

$\frac{2 x}{2} = \frac{y}{2} + \frac{17}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{y}{2} + \frac{17}{2}$

Divide $x$ by $1$ .

$x = \frac{y}{2} + \frac{17}{2}$