Simplify 1/2(85x-25(x-2))

$\frac{1}{2} (85 x - 25 (x - 2))$

Step 1

Simplify each term.

Apply the distributive property.

$\frac{1}{2} \cdot (85 x - 25 x - 25 \cdot - 2)$

Multiply $- 25$ by $- 2$ .

$\frac{1}{2} \cdot (85 x - 25 x + 50)$

$\frac{1}{2} \cdot (85 x - 25 x + 50)$

Step 2

Simplify terms.

Subtract $25 x$ from $85 x$ .

$\frac{1}{2} \cdot (60 x + 50)$

Apply the distributive property.

$\frac{1}{2} (60 x) + \frac{1}{2} \cdot 50$

Cancel the common factor of $2$ .

Factor $2$ out of $60 x$ .

$\frac{1}{2} (2 (30 x)) + \frac{1}{2} \cdot 50$

Cancel the common factor.

$\frac{1}{2} (2 (30 x)) + \frac{1}{2} \cdot 50$

Rewrite the expression.

$30 x + \frac{1}{2} \cdot 50$

$30 x + \frac{1}{2} \cdot 50$

Cancel the common factor of $2$ .

Factor $2$ out of $50$ .

$30 x + \frac{1}{2} \cdot (2 (25))$

Cancel the common factor.

$30 x + \frac{1}{2} \cdot (2 \cdot 25)$

Rewrite the expression.

$30 x + 25$

$30 x + 25$

$30 x + 25$

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