Solve for x -(4+x)=3x

$- (4 + x) = 3 x$

Simplify $- (4 + x)$ .

Start simplifying.

$0 + 0 - (4 + x) = 3 x$

Simplify by adding zeros.

$- (4 + x) = 3 x$

Apply the distributive property.

$- 1 \cdot 4 - x = 3 x$

Multiply $- 1$ by $4$ .

$- 4 - x = 3 x$

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

Subtract $3 x$ from both sides of the equation.

$- 4 - x - 3 x = 0$

Subtract $3 x$ from $- x$ .

$- 4 - 4 x = 0$

Add $4$ to both sides of the equation.

$- 4 x = 4$

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

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

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

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $4$ by $- 4$ .

$x = - 1$