Solve -(x-6+85)=(x+51)-54

$$- ( x - 6 + 85 ) = ( x + 51 ) - 54$$

Solve for x

$$x=-38$$

Steps for Solving Linear Equation

Add -6 and 85 to get 79.

$$-\left(x+79\right)=x+51-54$$

To find the opposite of x+79, find the opposite of each term.

$$-x-79=x+51-54$$

Subtract 54 from 51 to get -3.

$$-x-79=x-3$$

Subtract x from both sides.

$$-x-79-x=-3$$

Combine -x and -x to get -2x.

$$-2x-79=-3$$

Add 79 to both sides.

$$-2x=-3+79$$

Add -3 and 79 to get 76.

$$-2x=76$$

Divide both sides by -2.

$$x=\frac{76}{-2}$$

Divide 76 by -2 to get -38.

$$x=-38$$