Solve 84-(x-3)-x-3=x-3

$$84-(x-3)-x-3 = x-3$$

Solve for x

$$x=29$$

Steps for Solving Linear Equation

To find the opposite of x-3, find the opposite of each term.

$$84-x-\left(-3\right)-x-3=x-3$$

The opposite of -3 is 3.

$$84-x+3-x-3=x-3$$

Add 84 and 3 to get 87.

$$87-x-x-3=x-3$$

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

$$87-2x-3=x-3$$

Subtract 3 from 87 to get 84.

$$84-2x=x-3$$

Subtract x from both sides.

$$84-2x-x=-3$$

Combine -2x and -x to get -3x.

$$84-3x=-3$$

Subtract 84 from both sides.

$$-3x=-3-84$$

Subtract 84 from -3 to get -87.

$$-3x=-87$$

Divide both sides by -3.

$$x=\frac{-87}{-3}$$

Divide -87 by -3 to get 29.

$$x=29$$