Solve for x 2x+y=5x-6

$2 x + y = 5 x - 6$

Move all terms containing $x$ to the left side of the equation.

Subtract $5 x$ from both sides of the equation.

$2 x + y - 5 x = - 6$

Subtract $5 x$ from $2 x$ .

$- 3 x + y = - 6$

Subtract $y$ from both sides of the equation.

$- 3 x = - 6 - y$

Divide each term in $- 3 x = - 6 - y$ by $- 3$ and simplify.

Divide each term in $- 3 x = - 6 - y$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{- 6}{- 3} + \frac{- y}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{- 6}{- 3} + \frac{- y}{- 3}$

Divide $x$ by $1$ .

$x = \frac{- 6}{- 3} + \frac{- y}{- 3}$

Simplify the right side.

Simplify each term.

Divide $- 6$ by $- 3$ .

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

Dividing two negative values results in a positive value.

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