Solve for x 0=12x-(x-6)

$0 = 12 x - (x - 6)$

Step 1

Rewrite the equation as $12 x - (x - 6) = 0$ .

$12 x - (x - 6) = 0$

Step 2

Simplify $12 x - (x - 6)$ .

Simplify each term.

Apply the distributive property.

$12 x - x - - 6 = 0$

Multiply $- 1$ by $- 6$ .

$12 x - x + 6 = 0$

$12 x - x + 6 = 0$

Subtract $x$ from $12 x$ .

$11 x + 6 = 0$

$11 x + 6 = 0$

Step 3

Subtract $6$ from both sides of the equation.

$11 x = - 6$

Step 4

Divide each term in $11 x = - 6$ by $11$ and simplify.

Divide each term in $11 x = - 6$ by $11$ .

$\frac{11 x}{11} = \frac{- 6}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 x}{11} = \frac{- 6}{11}$

Divide $x$ by $1$ .

$x = \frac{- 6}{11}$

$x = \frac{- 6}{11}$

$x = \frac{- 6}{11}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{6}{11}$

$x = - \frac{6}{11}$

$x = - \frac{6}{11}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{6}{11}$

Decimal Form:

$x = - 0.\overline{54}$

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