Simplify (2x-10y+10z)-(6x+10z)

$(2 x - 10 y + 10 z) - (6 x + 10 z)$

Simplify each term.

Apply the distributive property.

$2 x - 10 y + 10 z - (6 x) - (10 z)$

Multiply $6$ by $- 1$ .

$2 x - 10 y + 10 z - 6 x - (10 z)$

Multiply $10$ by $- 1$ .

$2 x - 10 y + 10 z - 6 x - 10 z$

Simplify by adding terms.

Combine the opposite terms in $2 x - 10 y + 10 z - 6 x - 10 z$ .

Subtract $10 z$ from $10 z$ .

$2 x - 10 y - 6 x + 0$

Add $2 x - 10 y - 6 x$ and $0$ .

$2 x - 10 y - 6 x$

Subtract $6 x$ from $2 x$ .

$- 4 x - 10 y$