Simplify 1/4(70x-30(x-2))

$\frac{1}{4} (70 x - 30 (x - 2))$

Simplify each term.

Apply the distributive property.

$\frac{1}{4} \cdot (70 x - 30 x - 30 \cdot - 2)$

Multiply $- 30$ by $- 2$ .

$\frac{1}{4} \cdot (70 x - 30 x + 60)$

$\frac{1}{4} \cdot (70 x - 30 x + 60)$

Simplify terms.

Subtract $30 x$ from $70 x$ .

$\frac{1}{4} \cdot (40 x + 60)$

Apply the distributive property.

$\frac{1}{4} (40 x) + \frac{1}{4} \cdot 60$

Cancel the common factor of $4$ .

Factor $4$ out of $40 x$ .

$\frac{1}{4} (4 (10 x)) + \frac{1}{4} \cdot 60$

Cancel the common factor.

$\frac{1}{4} (4 (10 x)) + \frac{1}{4} \cdot 60$

Rewrite the expression.

$10 x + \frac{1}{4} \cdot 60$

$10 x + \frac{1}{4} \cdot 60$

Cancel the common factor of $4$ .

Factor $4$ out of $60$ .

$10 x + \frac{1}{4} \cdot (4 (15))$

Cancel the common factor.

$10 x + \frac{1}{4} \cdot (4 \cdot 15)$

Rewrite the expression.

$10 x + 15$

$10 x + 15$

$10 x + 15$

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