The problem is to solve the equation $5(3 - x) = 55$ for $x$.

1. Problem Description

The problem is to solve the equation $5(3 - x) = 55$ for $x$.

2. Solution Steps

We need to isolate $x$ to find its value. First, divide both sides of the equation by

5. $$\frac{5(3 - x)}{5} = \frac{55}{5}$$

$$3 - x = 11$$

Next, subtract 3 from both sides of the equation.

$$3 - x - 3 = 11 - 3$$

$$-x = 8$$

Now, multiply both sides by $-1$ to solve for $x$.

$$(-1)(-x) = (-1)(8)$$

$$x = -8$$

3. Final Answer

$x = -8$