Simplify 7/8(4/5x+16)+3/5(1/2x-10)

$\frac{7}{8} (\frac{4}{5} x + 16) + \frac{3}{5} (\frac{1}{2} x - 10)$

Simplify each term.

Combine $\frac{4}{5}$ and $x$ .

$\frac{7}{8} \cdot (\frac{4 x}{5} + 16) + \frac{3}{5} \cdot (\frac{1}{2} x - 10)$

Apply the distributive property.

$\frac{7}{8} \cdot \frac{4 x}{5} + \frac{7}{8} \cdot 16 + \frac{3}{5} \cdot (\frac{1}{2} x - 10)$

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$\frac{7}{4 (2)} \cdot \frac{4 x}{5} + \frac{7}{8} \cdot 16 + \frac{3}{5} \cdot (\frac{1}{2} x - 10)$

Factor $4$ out of $4 x$ .

$\frac{7}{4 (2)} \cdot \frac{4 (x)}{5} + \frac{7}{8} \cdot 16 + \frac{3}{5} \cdot (\frac{1}{2} x - 10)$

Cancel the common factor.

$\frac{7}{4 \cdot 2} \cdot \frac{4 x}{5} + \frac{7}{8} \cdot 16 + \frac{3}{5} \cdot (\frac{1}{2} x - 10)$

Rewrite the expression.

$\frac{7}{2} \cdot \frac{x}{5} + \frac{7}{8} \cdot 16 + \frac{3}{5} \cdot (\frac{1}{2} x - 10)$

Multiply $\frac{7}{2}$ by $\frac{x}{5}$ .

$\frac{7 x}{2 \cdot 5} + \frac{7}{8} \cdot 16 + \frac{3}{5} \cdot (\frac{1}{2} x - 10)$

Multiply $2$ by $5$ .

$\frac{7 x}{10} + \frac{7}{8} \cdot 16 + \frac{3}{5} \cdot (\frac{1}{2} x - 10)$

Cancel the common factor of $8$ .

Factor $8$ out of $16$ .

$\frac{7 x}{10} + \frac{7}{8} \cdot (8 (2)) + \frac{3}{5} \cdot (\frac{1}{2} x - 10)$

Cancel the common factor.

$\frac{7 x}{10} + \frac{7}{8} \cdot (8 \cdot 2) + \frac{3}{5} \cdot (\frac{1}{2} x - 10)$

Rewrite the expression.

$\frac{7 x}{10} + 7 \cdot 2 + \frac{3}{5} \cdot (\frac{1}{2} x - 10)$

Multiply $7$ by $2$ .

$\frac{7 x}{10} + 14 + \frac{3}{5} \cdot (\frac{1}{2} x - 10)$

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

$\frac{7 x}{10} + 14 + \frac{3}{5} \cdot (\frac{x}{2} - 10)$

Apply the distributive property.

$\frac{7 x}{10} + 14 + \frac{3}{5} \cdot \frac{x}{2} + \frac{3}{5} \cdot - 10$

Multiply $\frac{3}{5} \cdot \frac{x}{2}$ .

Multiply $\frac{3}{5}$ by $\frac{x}{2}$ .

$\frac{7 x}{10} + 14 + \frac{3 x}{5 \cdot 2} + \frac{3}{5} \cdot - 10$

Multiply $5$ by $2$ .

$\frac{7 x}{10} + 14 + \frac{3 x}{10} + \frac{3}{5} \cdot - 10$

Cancel the common factor of $5$ .

Factor $5$ out of $- 10$ .

$\frac{7 x}{10} + 14 + \frac{3 x}{10} + \frac{3}{5} \cdot (5 (- 2))$

Cancel the common factor.

$\frac{7 x}{10} + 14 + \frac{3 x}{10} + \frac{3}{5} \cdot (5 \cdot - 2)$

Rewrite the expression.

$\frac{7 x}{10} + 14 + \frac{3 x}{10} + 3 \cdot - 2$

Multiply $3$ by $- 2$ .

$\frac{7 x}{10} + 14 + \frac{3 x}{10} - 6$

Simplify terms.

Combine the numerators over the common denominator.

$14 - 6 + \frac{7 x + 3 x}{10}$

Add $7 x$ and $3 x$ .

$14 - 6 + \frac{10 x}{10}$

Cancel the common factor of $10$ .

Cancel the common factor.

$14 - 6 + \frac{10 x}{10}$

Divide $x$ by $1$ .

$14 - 6 + x$

Subtract $6$ from $14$ .

$8 + x$

Simplify 7/8(4/5x+16)+3/5(1/2x-10)

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