Finite Math Examples

$\frac{2}{3} x + \frac{3}{9} x = 8$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

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

$\frac{2 x}{3} + \frac{3}{9} x = 8$

Step 1.2

Cancel the common factor of $3$ and $9$ .

Tap for more steps...

Step 1.2.1

Factor $3$ out of $3$ .

$\frac{2 x}{3} + \frac{3 (1)}{9} x = 8$

Step 1.2.2

Cancel the common factors.

Tap for more steps...

Step 1.2.2.1

Factor $3$ out of $9$ .

$\frac{2 x}{3} + \frac{3 \cdot 1}{3 \cdot 3} x = 8$

Step 1.2.2.2

Cancel the common factor.

$\frac{2 x}{3} + \frac{3 \cdot 1}{3 \cdot 3} x = 8$

Step 1.2.2.3

Rewrite the expression.

$\frac{2 x}{3} + \frac{1}{3} x = 8$

Step 1.3

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

$\frac{2 x}{3} + \frac{x}{3} = 8$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Combine the numerators over the common denominator.

$\frac{2 x + x}{3} = 8$

Step 2.2

Add $2 x$ and $x$ .

$\frac{3 x}{3} = 8$

Step 2.3

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.3.1

Cancel the common factor.

$\frac{3 x}{3} = 8$

Step 2.3.2

Divide $x$ by $1$ .

$x = 8$