Solve for x -2x+y=6

$- 2 x + y = 6$

Step 1

Subtract $y$ from both sides of the equation.

$- 2 x = 6 - y$

Step 2

Divide each term in $- 2 x = 6 - y$ by $- 2$ and simplify.

Divide each term in $- 2 x = 6 - y$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{6}{- 2} + \frac{- y}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{6}{- 2} + \frac{- y}{- 2}$

Divide $x$ by $1$ .

$x = \frac{6}{- 2} + \frac{- y}{- 2}$

Simplify the right side.

Simplify each term.

Divide $6$ by $- 2$ .

$x = - 3 + \frac{- y}{- 2}$

Dividing two negative values results in a positive value.

$x = - 3 + \frac{y}{2}$