Solve for x 0.5(2x+8)=x-4

$0.5 (2 x + 8) = x - 4$

Simplify $0.5 (2 x + 8)$ .

Rewrite.

$0 + 0 + 0.5 (2 x + 8) = x - 4$

Simplify by adding zeros.

$0.5 (2 x + 8) = x - 4$

Apply the distributive property.

$0.5 (2 x) + 0.5 \cdot 8 = x - 4$

Multiply $0.5 (2 x)$ .

Multiply $2$ by $0.5$ .

$1 x + 0.5 \cdot 8 = x - 4$

Multiply $x$ by $1$ .

$x + 0.5 \cdot 8 = x - 4$

Multiply $0.5$ by $8$ .

$x + 4 = x - 4$

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

Subtract $x$ from both sides of the equation.

$x + 4 - x = - 4$

Combine the opposite terms in $x + 4 - x$ .

Subtract $x$ from $x$ .

$0 + 4 = - 4$

Add $0$ and $4$ .

$4 = - 4$

Since $4 \neq - 4$ , there are no solutions.

No solution