Solve for x -(x+1)=2x

$- (x + 1) = 2 x$

Step 1

Simplify $- (x + 1)$ .

Rewrite.

$0 + 0 - (x + 1) = 2 x$

Simplify by adding zeros.

$- (x + 1) = 2 x$

Apply the distributive property.

$- x - 1 \cdot 1 = 2 x$

Multiply $- 1$ by $1$ .

$- x - 1 = 2 x$

Step 2

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

Subtract $2 x$ from both sides of the equation.

$- x - 1 - 2 x = 0$

Subtract $2 x$ from $- x$ .

$- 3 x - 1 = 0$

Step 3

Add $1$ to both sides of the equation.

$- 3 x = 1$

Step 4

Divide each term in $- 3 x = 1$ by $- 3$ and simplify.

Divide each term in $- 3 x = 1$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{1}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{1}{- 3}$

Divide $x$ by $1$ .

$x = \frac{1}{- 3}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{3}$

Decimal Form:

$x = - 0.\overline{3}$