Let's solve the equation step by step:
Given: 3x - 5(2x + 1) = 3(3 - 2x)
Step 1: Expand both sides
Left side: 3x - 5 * 2x - 5 * 1 = 3x - 10x - 5
Right side: 3 * 3 - 3 * 2x = 9 - 6x
So, the equation becomes: 3x - 10x - 5 = 9 - 6x
Step 2: Combine like terms on the left:
(3x - 10x) - 5 = 9 - 6x
-7x - 5 = 9 - 6x
Step 3: Get all x terms on one side and constants on the other:
Add 6x to both sides: -7x + 6x - 5 = 9 - 6x + 6x
- x - 5 = 9
Add 5 to both sides:
x = 9 + 5
x = 14
Multiply both sides by -1: x = -14
Final answer:
\[ \boxed{ x = -14 } \]