Solve for x (x+4)/9=2x

$\frac{x + 4}{9} = 2 x$

Multiply both sides by $9$ .

$\frac{x + 4}{9} \cdot 9 = 2 x \cdot 9$

Simplify.

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{x + 4}{9} \cdot 9 = 2 x \cdot 9$

Rewrite the expression.

$x + 4 = 2 x \cdot 9$

Simplify the right side.

Multiply $9$ by $2$ .

$x + 4 = 18 x$

Solve for $x$ .

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

Subtract $18 x$ from both sides of the equation.

$x + 4 - 18 x = 0$

Subtract $18 x$ from $x$ .

$- 17 x + 4 = 0$

Subtract $4$ from both sides of the equation.

$- 17 x = - 4$

Divide each term in $- 17 x = - 4$ by $- 17$ and simplify.

Divide each term in $- 17 x = - 4$ by $- 17$ .

$\frac{- 17 x}{- 17} = \frac{- 4}{- 17}$

Simplify the left side.

Cancel the common factor of $- 17$ .

Cancel the common factor.

$\frac{- 17 x}{- 17} = \frac{- 4}{- 17}$

Divide $x$ by $1$ .

$x = \frac{- 4}{- 17}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{4}{17}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{4}{17}$

Decimal Form:

$x = 0.23529411 \dots$