Solve for x -2+2x=-x+2+x

$- 2 + 2 x = - x + 2 + x$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- x + 2 + x = - 2 + 2 x$

Combine the opposite terms in $- x + 2 + x$ .

Add $- x$ and $x$ .

$0 + 2 = - 2 + 2 x$

Add $0$ and $2$ .

$2 = - 2 + 2 x$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 2 + 2 x = 2$

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

Add $2$ to both sides of the equation.

$2 x = 2 + 2$

Add $2$ and $2$ .

$2 x = 4$

Divide each term in $2 x = 4$ by $2$ and simplify.

Divide each term in $2 x = 4$ by $2$ .

$\frac{2 x}{2} = \frac{4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{4}{2}$

Divide $x$ by $1$ .

$x = \frac{4}{2}$

Simplify the right side.

Divide $4$ by $2$ .

$x = 2$