Solve for x 4-(2x+4)=5

$4 - (2 x + 4) = 5$

Step 1

Simplify $4 - (2 x + 4)$ .

Simplify each term.

Apply the distributive property.

$4 - (2 x) - 1 \cdot 4 = 5$

Multiply $2$ by $- 1$ .

$4 - 2 x - 1 \cdot 4 = 5$

Multiply $- 1$ by $4$ .

$4 - 2 x - 4 = 5$

$4 - 2 x - 4 = 5$

Combine the opposite terms in $4 - 2 x - 4$ .

Subtract $4$ from $4$ .

$- 2 x + 0 = 5$

Add $- 2 x$ and $0$ .

$- 2 x = 5$

$- 2 x = 5$

$- 2 x = 5$

Step 2

Divide each term in $- 2 x = 5$ by $- 2$ and simplify.

Divide each term in $- 2 x = 5$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{5}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{5}{- 2}$

Divide $x$ by $1$ .

$x = \frac{5}{- 2}$

$x = \frac{5}{- 2}$

$x = \frac{5}{- 2}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{5}{2}$

$x = - \frac{5}{2}$

$x = - \frac{5}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{5}{2}$

Decimal Form:

$x = - 2.5$

Mixed Number Form:

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

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