#### Answer

x = 0
Using set notation: {x|x = 0}

#### Work Step by Step

We need to solve the equation:
5 - x = 4x + 5
First, let's add x to both sides of the equation.
5 - x + x = 4x + x + 5
5 = 5x + 5
Next, subtract 5 from both sides of the equation.
5 - 5 = 5x + 5 - 5
0 = 5x
Next, divide both sides by 5.
$\frac{0}{5}$ = $\frac{5x}{5}$
So that x = 0.