Solve for x -3x=x-(6-2x)

$- 3 x = x - (6 - 2 x)$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$x - (6 - 2 x) = - 3 x$

Simplify $x - (6 - 2 x)$ .

Simplify each term.

Apply the distributive property.

$x - 1 \cdot 6 - (- 2 x) = - 3 x$

Multiply $- 1$ by $6$ .

$x - 6 - (- 2 x) = - 3 x$

Multiply $- 2$ by $- 1$ .

$x - 6 + 2 x = - 3 x$

Add $x$ and $2 x$ .

$3 x - 6 = - 3 x$

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

Add $3 x$ to both sides of the equation.

$3 x - 6 + 3 x = 0$

Add $3 x$ and $3 x$ .

$6 x - 6 = 0$

Add $6$ to both sides of the equation.

$6 x = 6$

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

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

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

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $6$ by $6$ .

$x = 1$