Algebra Examples

$x + 4 - 2 (\frac{1}{2} x + 3)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

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

$x + 4 - 2 (\frac{x}{2} + 3)$

Step 1.2

Apply the distributive property.

$x + 4 - 2 \frac{x}{2} - 2 \cdot 3$

Step 1.3

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.3.1

Factor $2$ out of $- 2$ .

$x + 4 + 2 (- 1) \frac{x}{2} - 2 \cdot 3$

Step 1.3.2

Cancel the common factor.

$x + 4 + 2 \cdot - 1 \frac{x}{2} - 2 \cdot 3$

Step 1.3.3

Rewrite the expression.

$x + 4 - 1 x - 2 \cdot 3$

$x + 4 - 1 x - 2 \cdot 3$

Step 1.4

Multiply $- 2$ by $3$ .

$x + 4 - 1 x - 6$

Step 1.5

Rewrite $- 1 x$ as $- x$ .

$x + 4 - x - 6$

$x + 4 - x - 6$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Combine the opposite terms in $x + 4 - x - 6$ .

Tap for more steps...

Step 2.1.1

Subtract $x$ from $x$ .

$0 + 4 - 6$

Step 2.1.2

Add $0$ and $4$ .

$4 - 6$

$4 - 6$

Step 2.2

Subtract $6$ from $4$ .

$- 2$

$- 2$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$