#### Answer

No solution.
In set notation, this is the empty set: { }

#### Work Step by Step

To solve the equation below:
5x - 3(x + 1) = 2(x + 3) - 5
We start by using the distributive property:
5x - 3x - 3 = 2x + 6 - 5
Next, we combine like terms on each side of the equation.
2x - 3 = 2x + 1
Next, subtract 2x from each side of the equation:
2x - 2x - 3 = 2x - 2x + 1
Gives us: -3 = 1
Since -3 = 1 is not possible, the equation has no solution.