Solve for x 5x-(x+4)=2(x-3)

$5 x - (x + 4) = 2 (x - 3)$

Simplify $5 x - (x + 4)$ .

Simplify each term.

Apply the distributive property.

$5 x - x - 1 \cdot 4 = 2 (x - 3)$

Multiply $- 1$ by $4$ .

$5 x - x - 4 = 2 (x - 3)$

Subtract $x$ from $5 x$ .

$4 x - 4 = 2 (x - 3)$

Simplify $2 (x - 3)$ .

Apply the distributive property.

$4 x - 4 = 2 x + 2 \cdot - 3$

Multiply $2$ by $- 3$ .

$4 x - 4 = 2 x - 6$

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

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

$4 x - 4 - 2 x = - 6$

Subtract $2 x$ from $4 x$ .

$2 x - 4 = - 6$

Move all terms not containing $x$ to the right side of the equation.

Add $4$ to both sides of the equation.

$2 x = - 6 + 4$

Add $- 6$ and $4$ .

$2 x = - 2$

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $- 2$ by $2$ .

$x = - 1$