Solve for x -0.5(-2x+8)-8=8

$- 0.5 (- 2 x + 8) - 8 = 8$

Step 1

Simplify $- 0.5 (- 2 x + 8) - 8$ .

Simplify each term.

Apply the distributive property.

$- 0.5 (- 2 x) - 0.5 \cdot 8 - 8 = 8$

Multiply $- 0.5 (- 2 x)$ .

Multiply $- 2$ by $- 0.5$ .

$1 x - 0.5 \cdot 8 - 8 = 8$

Multiply $x$ by $1$ .

$x - 0.5 \cdot 8 - 8 = 8$

Multiply $- 0.5$ by $8$ .

$x - 4 - 8 = 8$

Subtract $8$ from $- 4$ .

$x - 12 = 8$

Step 2

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

Add $12$ to both sides of the equation.

$x = 8 + 12$

Add $8$ and $12$ .

$x = 20$