Solve for x -x+2y=2

$- x + 2 y = 2$

Step 1

Subtract $2 y$ from both sides of the equation.

$- x = 2 - 2 y$

Step 2

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

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

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $2$ by $- 1$ .

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

Move the negative one from the denominator of $\frac{- 2 y}{- 1}$ .

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

Rewrite $- 1 \cdot (- 2 y)$ as $- (- 2 y)$ .

$x = - 2 - (- 2 y)$

Multiply $- 2$ by $- 1$ .

$x = - 2 + 2 y$