Let's first simplify both sides of the equation:
3 - (2x - 5)3 = 17 - 5(x - 2)
Distribute the -3 on the left side:
3 - 6x + 15 = 17 - 5x + 10
Combine like terms:
-6x + 18 = 27 - 5x
Now, let's isolate the variable on one side and the constants on the other side. Let's move all terms with x to one side:
Add 6x to both sides:
18 = 27 + x
Subtract 27 from both sides:
-9 = x
So, the solution to the equation is x = -9.
Let's first simplify both sides of the equation:
3 - (2x - 5)3 = 17 - 5(x - 2)
Distribute the -3 on the left side:
3 - 6x + 15 = 17 - 5x + 10
Combine like terms:
-6x + 18 = 27 - 5x
Now, let's isolate the variable on one side and the constants on the other side. Let's move all terms with x to one side:
-6x + 18 = 27 - 5x
Add 6x to both sides:
18 = 27 + x
Subtract 27 from both sides:
-9 = x
So, the solution to the equation is x = -9.