Solve for x 2-(x+4)/2=11

$2 - \frac{x + 4}{2} = 11$

Simplify $2 - \frac{x + 4}{2}$ .

To write $2$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$2 \cdot \frac{2}{2} - \frac{x + 4}{2} = 11$

Simplify terms.

Combine $2$ and $\frac{2}{2}$ .

$\frac{2 \cdot 2}{2} - \frac{x + 4}{2} = 11$

Combine the numerators over the common denominator.

$\frac{2 \cdot 2 - (x + 4)}{2} = 11$

Simplify the numerator.

Multiply $2$ by $2$ .

$\frac{4 - (x + 4)}{2} = 11$

Apply the distributive property.

$\frac{4 - x - 1 \cdot 4}{2} = 11$

Multiply $- 1$ by $4$ .

$\frac{4 - x - 4}{2} = 11$

Subtract $4$ from $4$ .

$\frac{- x + 0}{2} = 11$

Add $- x$ and $0$ .

$\frac{- x}{2} = 11$

Move the negative in front of the fraction.

$- \frac{x}{2} = 11$

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{x}{2}) = - 2 \cdot 11$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 2 (- \frac{x}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{x}{2}$ into the numerator.

$- 2 \frac{- x}{2} = - 2 \cdot 11$

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- x}{2} = - 2 \cdot 11$

Cancel the common factor.

$2 \cdot - 1 \frac{- x}{2} = - 2 \cdot 11$

Rewrite the expression.

$- - x = - 2 \cdot 11$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 2 \cdot 11$

Multiply $x$ by $1$ .

$x = - 2 \cdot 11$

Simplify the right side.

Multiply $- 2$ by $11$ .

$x = - 22$