5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

Answer
Multiply factors.
-15x - 10 - x + 3 = -16x - 20 +13

Group like terms.
-16x - 7 = -16x - 7

Add 16x + 7 to both sides and write the equation as follows

0 = 0

Looks good.

To solve the given equation, let's go step by step:

1. Start by distributing the factors on both sides of the equation:
5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

This gives us: -15x - 10 - x + 3 = -16x - 20 + 13

2. Simplify the equation by combining like terms on each side:
-15x - 10 - x + 3 = -16x - 20 + 13

This gives us: -16x - 7 = -16x - 7

3. Notice that we have -16x on both sides of the equation. In this case, we can subtract -16x from both sides to eliminate it:
-16x - 7 + 16x + 7 = -16x - 7 + 16x + 7

Simplifying further, we get: 0 = 0

4. This equation is a special case where both sides are equal to zero. In other words, it is an identity. This means that no matter what value we assign to x, the equation will always be true.

So, the solution to the equation is x can be any real number.