Solve for x -6x-20=-2x+4(1-3x)

$- 6 x - 20 = - 2 x + 4 (1 - 3 x)$

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

$- 2 x + 4 (1 - 3 x) = - 6 x - 20$

Simplify $- 2 x + 4 (1 - 3 x)$ .

Simplify each term.

Apply the distributive property.

$- 2 x + 4 \cdot 1 + 4 (- 3 x) = - 6 x - 20$

Multiply $4$ by $1$ .

$- 2 x + 4 + 4 (- 3 x) = - 6 x - 20$

Multiply $- 3$ by $4$ .

$- 2 x + 4 - 12 x = - 6 x - 20$

Subtract $12 x$ from $- 2 x$ .

$- 14 x + 4 = - 6 x - 20$

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

Add $6 x$ to both sides of the equation.

$- 14 x + 4 + 6 x = - 20$

Add $- 14 x$ and $6 x$ .

$- 8 x + 4 = - 20$

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

Subtract $4$ from both sides of the equation.

$- 8 x = - 20 - 4$

Subtract $4$ from $- 20$ .

$- 8 x = - 24$

Divide each term in $- 8 x = - 24$ by $- 8$ and simplify.

Divide each term in $- 8 x = - 24$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{- 24}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{- 24}{- 8}$

Divide $x$ by $1$ .

$x = \frac{- 24}{- 8}$

Simplify the right side.

Divide $- 24$ by $- 8$ .

$x = 3$