Solve for x x-2=9x

$x - 2 = 9 x$

Step 1

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

Subtract $9 x$ from both sides of the equation.

$x - 2 - 9 x = 0$

Subtract $9 x$ from $x$ .

$- 8 x - 2 = 0$

Step 2

Add $2$ to both sides of the equation.

$- 8 x = 2$

Step 3

Divide each term in $- 8 x = 2$ by $- 8$ and simplify.

Divide each term in $- 8 x = 2$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{2}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{2}{- 8}$

Divide $x$ by $1$ .

$x = \frac{2}{- 8}$

Simplify the right side.

Cancel the common factor of $2$ and $- 8$ .

Factor $2$ out of $2$ .

$x = \frac{2 (1)}{- 8}$

Cancel the common factors.

Factor $2$ out of $- 8$ .

$x = \frac{2 \cdot 1}{2 \cdot - 4}$

Cancel the common factor.

$x = \frac{2 \cdot 1}{2 \cdot - 4}$

Rewrite the expression.

$x = \frac{1}{- 4}$

Move the negative in front of the fraction.

$x = - \frac{1}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{4}$

Decimal Form:

$x = - 0.25$