Let's simplify each equation:
1) 3 - (2x - 5)3 = 17 - 5(x - 2)
Distribute the negative sign on the left side:3 - 6x + 15 = 17 - 5x + 10
Combine like terms:-6x + 18 = -5x + 27
Subtract -18 from both sides:-6x = -5x + 9
Subtract -5x from both sides:-6x + 5x = 9
-1x = 9x = -9
2) 3(7x - 4) - (x - 6) = 15x - 4(x - 3)
Distribute the 3 on the left side:21x - 12 - x + 6 = 15x - 4x + 12
Combine like terms:20x - 6 = 11x + 12
Subtract 20x from both sides:-6 = -9x + 12
Subtract 12 from both sides:-6 - 12 = -9x
-18 = -9x
Divide -9 from both sides:-18 / -9 = x
x = 2
Therefore, the solutions to the given equations are x = -9 and x = 2.
Let's simplify each equation:
1) 3 - (2x - 5)3 = 17 - 5(x - 2)
Distribute the negative sign on the left side:
3 - 6x + 15 = 17 - 5x + 10
Combine like terms:
-6x + 18 = -5x + 27
Subtract -18 from both sides:
-6x = -5x + 9
Subtract -5x from both sides:
-6x + 5x = 9
-1x = 9
x = -9
2) 3(7x - 4) - (x - 6) = 15x - 4(x - 3)
Distribute the 3 on the left side:
21x - 12 - x + 6 = 15x - 4x + 12
Combine like terms:
20x - 6 = 11x + 12
Subtract 20x from both sides:
-6 = -9x + 12
Subtract 12 from both sides:
-6 - 12 = -9x
-18 = -9x
Divide -9 from both sides:
-18 / -9 = x
x = 2
Therefore, the solutions to the given equations are x = -9 and x = 2.