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

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

Simplify each term.

Apply the distributive property.

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

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

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

Multiply $- \frac{1}{2} \cdot - 3$ .

Multiply $- 3$ by $- 1$ .

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

Combine $3$ and $\frac{1}{2}$ .

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

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

Apply the distributive property.

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

Cancel the common factor of $2$ .

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

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

Factor $2$ out of $- 2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Multiply $- 1$ by $- 1$ .

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

Multiply $x$ by $1$ .

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

Cancel the common factor of $2$ .

Factor $2$ out of $- 2$ .

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

Cancel the common factor.

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

Rewrite the expression.

$3 + x - 1 \cdot 3$

$3 + x - 1 \cdot 3$

Multiply $- 1$ by $3$ .

$3 + x - 3$

$3 + x - 3$

Combine the opposite terms in $3 + x - 3$ .

Subtract $3$ from $3$ .

$x + 0$

Add $x$ and $0$ .

$x$

$x$

Related Questions