Basic Math Examples

3 (x - 2) = 9 - x

$3 (x - 2) = 9 - x$

Step 1

Simplify

3 (x - 2)

$3 (x - 2)$ .

Tap for more steps...

Step 1.1

Rewrite.

0 + 0 + 3 (x - 2) = 9 - x

$0 + 0 + 3 (x - 2) = 9 - x$

Step 1.2

Simplify by adding zeros.

3 (x - 2) = 9 - x

$3 (x - 2) = 9 - x$

Step 1.3

Apply the distributive property.

3 x + 3 \cdot - 2 = 9 - x

$3 x + 3 \cdot - 2 = 9 - x$

Step 1.4

Multiply

3

$3$ by

- 2

$- 2$ .

3 x - 6 = 9 - x

$3 x - 6 = 9 - x$

3 x - 6 = 9 - x

$3 x - 6 = 9 - x$

Step 2

Move all terms containing

x

$x$ to the left side of the equation.

Tap for more steps...

Step 2.1

Add

x

$x$ to both sides of the equation.

3 x - 6 + x = 9

$3 x - 6 + x = 9$

Step 2.2

Add

3 x

$3 x$ and

x

$x$ .

4 x - 6 = 9

$4 x - 6 = 9$

4 x - 6 = 9

$4 x - 6 = 9$

Step 3

Move all terms not containing

x

$x$ to the right side of the equation.

Tap for more steps...

Step 3.1

Add

6

$6$ to both sides of the equation.

4 x = 9 + 6

$4 x = 9 + 6$

Step 3.2

Add

9

$9$ and

6

$6$ .

4 x = 15

$4 x = 15$

4 x = 15

$4 x = 15$

Step 4

Divide each term in

4 x = 15

$4 x = 15$ by

4

$4$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in

4 x = 15

$4 x = 15$ by

4

$4$ .

\frac{4 x}{4} = \frac{15}{4}

$\frac{4 x}{4} = \frac{15}{4}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of

4

$4$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{15}{4}$

Step 4.2.1.2

Divide

$x$ by

$1$ .

$x = \frac{15}{4}$

$x = \frac{15}{4}$

$x = \frac{15}{4}$

$x = \frac{15}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{15}{4}$

Decimal Form:

$x = 3.75$

Mixed Number Form:

$x = 3 \frac{3}{4}$

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