Solve for x x/9+(2x)/2=1/3

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

Step 1

Simplify $\frac{x}{9} + \frac{2 x}{2}$ .

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

$\frac{x}{9} + x = \frac{1}{3}$

To write $x$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{x}{9} + x \cdot \frac{9}{9} = \frac{1}{3}$

Simplify terms.

Combine $x$ and $\frac{9}{9}$ .

$\frac{x}{9} + \frac{x \cdot 9}{9} = \frac{1}{3}$

Combine the numerators over the common denominator.

$\frac{x + x \cdot 9}{9} = \frac{1}{3}$

Simplify the numerator.

Move $9$ to the left of $x$ .

$\frac{x + 9 \cdot x}{9} = \frac{1}{3}$

Add $x$ and $9 x$ .

$\frac{10 x}{9} = \frac{1}{3}$

Step 2

Multiply both sides of the equation by $\frac{9}{10}$ .

$\frac{9}{10} \cdot \frac{10 x}{9} = \frac{9}{10} \cdot \frac{1}{3}$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{9}{10} \cdot \frac{10 x}{9}$ .

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9}{10} \cdot \frac{10 x}{9} = \frac{9}{10} \cdot \frac{1}{3}$

Rewrite the expression.

$\frac{1}{10} (10 x) = \frac{9}{10} \cdot \frac{1}{3}$

Cancel the common factor of $10$ .

Factor $10$ out of $10 x$ .

$\frac{1}{10} (10 (x)) = \frac{9}{10} \cdot \frac{1}{3}$

Cancel the common factor.

$\frac{1}{10} (10 x) = \frac{9}{10} \cdot \frac{1}{3}$

Rewrite the expression.

$x = \frac{9}{10} \cdot \frac{1}{3}$

Simplify the right side.

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$x = \frac{3 (3)}{10} \cdot \frac{1}{3}$

Cancel the common factor.

$x = \frac{3 \cdot 3}{10} \cdot \frac{1}{3}$

Rewrite the expression.

$x = \frac{3}{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3}{10}$

Decimal Form:

$x = 0.3$

Solve for x x/9+(2x)/2=1/3

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