Solve for x -2x=(-4x+20)/2

$- 2 x = \frac{- 4 x + 20}{2}$

Cancel the common factor of $- 4 x + 20$ and $2$ .

Factor $2$ out of $- 4 x$ .

$- 2 x = \frac{2 (- 2 x) + 20}{2}$

Factor $2$ out of $20$ .

$- 2 x = \frac{2 (- 2 x) + 2 \cdot 10}{2}$

Factor $2$ out of $2 (- 2 x) + 2 (10)$ .

$- 2 x = \frac{2 (- 2 x + 10)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$- 2 x = \frac{2 (- 2 x + 10)}{2 (1)}$

Cancel the common factor.

$- 2 x = \frac{2 (- 2 x + 10)}{2 \cdot 1}$

Rewrite the expression.

$- 2 x = \frac{- 2 x + 10}{1}$

Divide $- 2 x + 10$ by $1$ .

$- 2 x = - 2 x + 10$

Solve for $x$ .

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

Add $2 x$ to both sides of the equation.

$- 2 x + 2 x = 10$

Add $- 2 x$ and $2 x$ .

$0 = 10$

Since $0 \neq 10$ , there are no solutions.

No solution