Simplify 11(1/4x-2)+1/4x

$11 (\frac{1}{4} x - 2) + \frac{1}{4} x$

Step 1

Simplify each term.

Combine $\frac{1}{4}$ and $x$ .

$11 (\frac{x}{4} - 2) + \frac{1}{4} x$

Apply the distributive property.

$11 \frac{x}{4} + 11 \cdot - 2 + \frac{1}{4} x$

Combine $11$ and $\frac{x}{4}$ .

$\frac{11 x}{4} + 11 \cdot - 2 + \frac{1}{4} x$

Multiply $11$ by $- 2$ .

$\frac{11 x}{4} - 22 + \frac{1}{4} x$

Combine $\frac{1}{4}$ and $x$ .

$\frac{11 x}{4} - 22 + \frac{x}{4}$

$\frac{11 x}{4} - 22 + \frac{x}{4}$

Step 2

Simplify terms.

Combine the numerators over the common denominator.

$- 22 + \frac{11 x + x}{4}$

Add $11 x$ and $x$ .

$- 22 + \frac{12 x}{4}$

Cancel the common factor of $12$ and $4$ .

Factor $4$ out of $12 x$ .

$- 22 + \frac{4 (3 x)}{4}$

Cancel the common factors.

Factor $4$ out of $4$ .

$- 22 + \frac{4 (3 x)}{4 (1)}$

Cancel the common factor.

$- 22 + \frac{4 (3 x)}{4 \cdot 1}$

Rewrite the expression.

$- 22 + \frac{3 x}{1}$

Divide $3 x$ by $1$ .

$- 22 + 3 x$

$- 22 + 3 x$

$- 22 + 3 x$

$- 22 + 3 x$

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