Algebra Examples

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

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

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

Step 1.2

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

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

Step 1.3

Multiply $- \frac{1}{2} \cdot - 3$ .

Tap for more steps...

Step 1.3.1

Multiply $- 3$ by $- 1$ .

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

Step 1.3.2

Combine $3$ and $\frac{1}{2}$ .

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

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

Step 1.4

Apply the distributive property.

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

Step 1.5

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.5.1

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

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

Step 1.5.2

Factor $2$ out of $- 2$ .

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

Step 1.5.3

Cancel the common factor.

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

Step 1.5.4

Rewrite the expression.

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

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

Step 1.6

Multiply $- 1$ by $- 1$ .

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

Step 1.7

Multiply $x$ by $1$ .

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

Step 1.8

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.8.1

Factor $2$ out of $- 2$ .

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

Step 1.8.2

Cancel the common factor.

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

Step 1.8.3

Rewrite the expression.

$3 + x - 1 \cdot 3$

$3 + x - 1 \cdot 3$

Step 1.9

Multiply $- 1$ by $3$ .

$3 + x - 3$

$3 + x - 3$

Step 2

Combine the opposite terms in $3 + x - 3$ .

Tap for more steps...

Step 2.1

Subtract $3$ from $3$ .

$x + 0$

Step 2.2

Add $x$ and $0$ .

$x$

$x$

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