Simplify 15(1/8x-2)+1/8x

$15 (\frac{1}{8} x - 2) + \frac{1}{8} x$

Step 1

Simplify each term.

Combine $\frac{1}{8}$ and $x$ .

$15 (\frac{x}{8} - 2) + \frac{1}{8} x$

Apply the distributive property.

$15 \frac{x}{8} + 15 \cdot - 2 + \frac{1}{8} x$

Combine $15$ and $\frac{x}{8}$ .

$\frac{15 x}{8} + 15 \cdot - 2 + \frac{1}{8} x$

Multiply $15$ by $- 2$ .

$\frac{15 x}{8} - 30 + \frac{1}{8} x$

Combine $\frac{1}{8}$ and $x$ .

$\frac{15 x}{8} - 30 + \frac{x}{8}$

$\frac{15 x}{8} - 30 + \frac{x}{8}$

Step 2

Simplify terms.

Combine the numerators over the common denominator.

$- 30 + \frac{15 x + x}{8}$

Add $15 x$ and $x$ .

$- 30 + \frac{16 x}{8}$

Cancel the common factor of $16$ and $8$ .

Factor $8$ out of $16 x$ .

$- 30 + \frac{8 (2 x)}{8}$

Cancel the common factors.

Factor $8$ out of $8$ .

$- 30 + \frac{8 (2 x)}{8 (1)}$

Cancel the common factor.

$- 30 + \frac{8 (2 x)}{8 \cdot 1}$

Rewrite the expression.

$- 30 + \frac{2 x}{1}$

Divide $2 x$ by $1$ .

$- 30 + 2 x$

$- 30 + 2 x$

$- 30 + 2 x$

$- 30 + 2 x$

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