Algebra Examples

$- \frac{1}{2} (32 x - 40) + (20 x - 4)$

Step 1

Remove parentheses.

$- \frac{1}{2} \cdot (32 x - 40) + 20 x - 4$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- \frac{1}{2} (32 x) - \frac{1}{2} \cdot - 40 + 20 x - 4$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$\frac{- 1}{2} (32 x) - \frac{1}{2} \cdot - 40 + 20 x - 4$

Step 2.2.2

Factor $2$ out of $32 x$ .

$\frac{- 1}{2} (2 (16 x)) - \frac{1}{2} \cdot - 40 + 20 x - 4$

Step 2.2.3

Cancel the common factor.

$\frac{- 1}{2} (2 (16 x)) - \frac{1}{2} \cdot - 40 + 20 x - 4$

Step 2.2.4

Rewrite the expression.

$- 1 (16 x) - \frac{1}{2} \cdot - 40 + 20 x - 4$

Step 2.3

Multiply $16$ by $- 1$ .

$- 16 x - \frac{1}{2} \cdot - 40 + 20 x - 4$

Step 2.4

Cancel the common factor of $2$ .

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Step 2.4.1

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$- 16 x + \frac{- 1}{2} \cdot - 40 + 20 x - 4$

Step 2.4.2

Factor $2$ out of $- 40$ .

$- 16 x + \frac{- 1}{2} \cdot (2 (- 20)) + 20 x - 4$

Step 2.4.3

Cancel the common factor.

$- 16 x + \frac{- 1}{2} \cdot (2 \cdot - 20) + 20 x - 4$

Step 2.4.4

Rewrite the expression.

$- 16 x - 1 \cdot - 20 + 20 x - 4$

Step 2.5

Multiply $- 1$ by $- 20$ .

$- 16 x + 20 + 20 x - 4$

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 16 x$ and $20 x$ .

$4 x + 20 - 4$

Step 3.2

Subtract $4$ from $20$ .

$4 x + 16$