Solve for x 2x-(21+x)=-31

$2 x - (21 + x) = - 31$

Simplify $2 x - (21 + x)$ .

Simplify each term.

Apply the distributive property.

$2 x - 1 \cdot 21 - x = - 31$

Multiply $- 1$ by $21$ .

$2 x - 21 - x = - 31$

Subtract $x$ from $2 x$ .

$x - 21 = - 31$

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

Add $21$ to both sides of the equation.

$x = - 31 + 21$

Add $- 31$ and $21$ .

$x = - 10$