Solve for x u=2x-2 ; for x

$u = 2 x - 2$ ; for $x$

Rewrite the equation as $2 x - 2 = u$ .

$2 x - 2 = u$

Add $2$ to both sides of the equation.

$2 x = u + 2$

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

Divide each term in $2 x = u + 2$ by $2$ .

$\frac{2 x}{2} = \frac{u}{2} + \frac{2}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{u}{2} + \frac{2}{2}$

Divide $x$ by $1$ .

$x = \frac{u}{2} + \frac{2}{2}$

Simplify the right side.

Divide $2$ by $2$ .

$x = \frac{u}{2} + 1$