Simplify 5(1/2x-4)+1/2x

$5 (\frac{1}{2} x - 4) + \frac{1}{2} x$

Simplify each term.

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

$5 (\frac{x}{2} - 4) + \frac{1}{2} x$

Apply the distributive property.

$5 \frac{x}{2} + 5 \cdot - 4 + \frac{1}{2} x$

Combine $5$ and $\frac{x}{2}$ .

$\frac{5 x}{2} + 5 \cdot - 4 + \frac{1}{2} x$

Multiply $5$ by $- 4$ .

$\frac{5 x}{2} - 20 + \frac{1}{2} x$

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

$\frac{5 x}{2} - 20 + \frac{x}{2}$

$\frac{5 x}{2} - 20 + \frac{x}{2}$

Simplify terms.

Combine the numerators over the common denominator.

$- 20 + \frac{5 x + x}{2}$

Add $5 x$ and $x$ .

$- 20 + \frac{6 x}{2}$

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $6 x$ .

$- 20 + \frac{2 (3 x)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$- 20 + \frac{2 (3 x)}{2 (1)}$

Cancel the common factor.

$- 20 + \frac{2 (3 x)}{2 \cdot 1}$

Rewrite the expression.

$- 20 + \frac{3 x}{1}$

Divide $3 x$ by $1$ .

$- 20 + 3 x$

$- 20 + 3 x$

$- 20 + 3 x$

$- 20 + 3 x$

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