Solve by Factoring 2(h-8)-h=h-16

$2 (h - 8) - h = h - 16$

Step 1

Move all the expressions to the left side of the equation.

Subtract $h$ from both sides of the equation.

$2 (h - 8) - h - h = - 16$

Add $16$ to both sides of the equation.

$2 (h - 8) - h - h + 16 = 0$

Step 2

Simplify $2 (h - 8) - h - h + 16$ .

Simplify each term.

Apply the distributive property.

$2 h + 2 \cdot - 8 - h - h + 16 = 0$

Multiply $2$ by $- 8$ .

$2 h - 16 - h - h + 16 = 0$

Combine the opposite terms in $2 h - 16 - h - h + 16$ .

Add $- 16$ and $16$ .

$2 h - h - h + 0 = 0$

Add $2 h - h - h$ and $0$ .

$2 h - h - h = 0$

Subtract $h$ from $2 h$ .

$h - h = 0$

Subtract $h$ from $h$ .

$0 = 0$

Step 3

Since $0 = 0$ , the equation will always be true.

Always true