Solve for x 2x=5-(9x)/18

$2 x = 5 - \frac{9 x}{18}$

Cancel the common factor of $9$ and $18$ .

Factor $9$ out of $9 x$ .

$2 x = 5 - \frac{9 (x)}{18}$

Cancel the common factors.

Factor $9$ out of $18$ .

$2 x = 5 - \frac{9 x}{9 \cdot 2}$

Cancel the common factor.

$2 x = 5 - \frac{9 x}{9 \cdot 2}$

Rewrite the expression.

$2 x = 5 - \frac{x}{2}$

Move all terms containing $x$ to the left side of the equation.

Add $\frac{x}{2}$ to both sides of the equation.

$2 x + \frac{x}{2} = 5$

To write $2 x$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$2 x \cdot \frac{2}{2} + \frac{x}{2} = 5$

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

$\frac{2 x \cdot 2}{2} + \frac{x}{2} = 5$

Combine the numerators over the common denominator.

$\frac{2 x \cdot 2 + x}{2} = 5$

Simplify the numerator.

Factor $x$ out of $2 x \cdot 2 + x$ .

Factor $x$ out of $2 x \cdot 2$ .

$\frac{x (2 \cdot 2) + x}{2} = 5$

Raise $x$ to the power of $1$ .

$\frac{x (2 \cdot 2) + x^{1}}{2} = 5$

Factor $x$ out of $x^{1}$ .

$\frac{x (2 \cdot 2) + x \cdot 1}{2} = 5$

Factor $x$ out of $x (2 \cdot 2) + x \cdot 1$ .

$\frac{x (2 \cdot 2 + 1)}{2} = 5$

Multiply $2$ by $2$ .

$\frac{x (4 + 1)}{2} = 5$

Add $4$ and $1$ .

$\frac{x \cdot 5}{2} = 5$

Move $5$ to the left of $x$ .

$\frac{5 x}{2} = 5$

Multiply both sides of the equation by $\frac{2}{5}$ .

$\frac{2}{5} \cdot \frac{5 x}{2} = \frac{2}{5} \cdot 5$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{2}{5} \cdot \frac{5 x}{2}$ .

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2}{5} \cdot \frac{5 x}{2} = \frac{2}{5} \cdot 5$

Rewrite the expression.

$\frac{1}{5} (5 x) = \frac{2}{5} \cdot 5$

Cancel the common factor of $5$ .

Factor $5$ out of $5 x$ .

$\frac{1}{5} (5 (x)) = \frac{2}{5} \cdot 5$

Cancel the common factor.

$\frac{1}{5} (5 x) = \frac{2}{5} \cdot 5$

Rewrite the expression.

$x = \frac{2}{5} \cdot 5$

Simplify the right side.

Cancel the common factor of $5$ .

Cancel the common factor.

$x = \frac{2}{5} \cdot 5$

Rewrite the expression.

$x = 2$

Solve for x 2x=5-(9x)/18

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