Answer: To solve the equation, we need to simplify and isolate the variable (x) on one side of the equation.
Let's start by distributing the 3/2 on the left side:
3/2(x) - 3/2(5) - 3/2 = 9/2x
Simplifying:
3/2x - 15/2 - 3/2 = 9/2x
Combining the constants:
3/2x - 9/2 = 9/2x
Subtracting 3/2x from both sides:
-9/2 = 3/2x
Multiplying both sides by 2/3:
-3 = x
Therefore, the solution to the equation is x = -3.