Solve for x 7+x=2x+6

$7 + x = 2 x + 6$

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

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

$7 + x - 2 x = 6$

Subtract $2 x$ from $x$ .

$7 - x = 6$

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

Subtract $7$ from both sides of the equation.

$- x = 6 - 7$

Subtract $7$ from $6$ .

$- x = - 1$

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

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

$\frac{- x}{- 1} = \frac{- 1}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 1}{- 1}$

Divide $x$ by $1$ .

$x = \frac{- 1}{- 1}$

Simplify the right side.

Divide $- 1$ by $- 1$ .

$x = 1$