Solve for x -2(x-6)=x+5

$- 2 (x - 6) = x + 5$

Simplify $- 2 (x - 6)$ .

Rewrite.

$0 + 0 - 2 (x - 6) = x + 5$

Simplify by adding zeros.

$- 2 (x - 6) = x + 5$

Apply the distributive property.

$- 2 x - 2 \cdot - 6 = x + 5$

Multiply $- 2$ by $- 6$ .

$- 2 x + 12 = x + 5$

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

Subtract $x$ from both sides of the equation.

$- 2 x + 12 - x = 5$

Subtract $x$ from $- 2 x$ .

$- 3 x + 12 = 5$

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

Subtract $12$ from both sides of the equation.

$- 3 x = 5 - 12$

Subtract $12$ from $5$ .

$- 3 x = - 7$

Divide each term in $- 3 x = - 7$ by $- 3$ and simplify.

Divide each term in $- 3 x = - 7$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{- 7}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{- 7}{- 3}$

Divide $x$ by $1$ .

$x = \frac{- 7}{- 3}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{7}{3}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{7}{3}$

Decimal Form:

$x = 2.\overline{3}$

Mixed Number Form:

$x = 2 \frac{1}{3}$