Simplify x+4-2(1/2x+3)

$x + 4 - 2 (\frac{1}{2} x + 3)$

Simplify each term.

Combine $\frac{1}{2}$ and $x$ .

$x + 4 - 2 (\frac{x}{2} + 3)$

Apply the distributive property.

$x + 4 - 2 \frac{x}{2} - 2 \cdot 3$

Cancel the common factor of $2$ .

Factor $2$ out of $- 2$ .

$x + 4 + 2 (- 1) \frac{x}{2} - 2 \cdot 3$

Cancel the common factor.

$x + 4 + 2 \cdot - 1 \frac{x}{2} - 2 \cdot 3$

Rewrite the expression.

$x + 4 - 1 x - 2 \cdot 3$

$x + 4 - 1 x - 2 \cdot 3$

Multiply $- 2$ by $3$ .

$x + 4 - 1 x - 6$

Rewrite $- 1 x$ as $- x$ .

$x + 4 - x - 6$

$x + 4 - x - 6$

Simplify by adding terms.

Combine the opposite terms in $x + 4 - x - 6$ .

Subtract $x$ from $x$ .

$0 + 4 - 6$

Add $0$ and $4$ .

$4 - 6$

$4 - 6$

Subtract $6$ from $4$ .

$- 2$

$- 2$

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