Solve -4-{6-[-3+(-3)+(-5-x)-7]-9}=1

$$- 4 - \{ 6 - [ - 3 + ( - 3 ) + ( - 5 - x ) - 7 ] - 9 \} = 1$$

Solve for x

$$x=-20$$

Steps for Solving Linear Equation

Subtract 3 from -3 to get -6.

$$-4-\left(6-\left(-6-5-x-7\right)-9\right)=1$$

Subtract 5 from -6 to get -11.

$$-4-\left(6-\left(-11-x-7\right)-9\right)=1$$

Subtract 7 from -11 to get -18.

$$-4-\left(6-\left(-18-x\right)-9\right)=1$$

To find the opposite of -18-x, find the opposite of each term.

$$-4-\left(6-\left(-18\right)-\left(-x\right)-9\right)=1$$

The opposite of -18 is 18.

$$-4-\left(6+18-\left(-x\right)-9\right)=1$$

The opposite of -x is x.

$$-4-\left(6+18+x-9\right)=1$$

Add 6 and 18 to get 24.

$$-4-\left(24+x-9\right)=1$$

Subtract 9 from 24 to get 15.

$$-4-\left(15+x\right)=1$$

To find the opposite of 15+x, find the opposite of each term.

$$-4-15-x=1$$

Subtract 15 from -4 to get -19.

$$-19-x=1$$

Add 19 to both sides.

$$-x=1+19$$

Add 1 and 19 to get 20.

$$-x=20$$

Multiply both sides by -1.

$$x=-20$$