Let's solve these equations one by one:
1) 3(3x-1) + 5 = 8(x+2) + 3Expand the expressions:9x - 3 + 5 = 8x + 16 + 3Combine like terms:9x + 2 = 8x + 19Subtract 8x from both sides:x + 2 = 19Subtract 2 from both sides:x = 17
2) 4.5(x+3) - 1 = 7.2 - 5(x-2)Expand the expressions:4.5x + 13.5 - 1 = 7.2 - 5x + 10Combine like terms:4.5x + 12.5 = 7.2 - 5x + 10Subtract 7.2 and 10 from both sides:4.5x + 2.5 = -5xAdd 5x to both sides:9.5x + 2.5 = 0Subtract 2.5 from both sides:9.5x = -2.5Divide by 9.5:x = -2.5/9.5 = -0.26315789474
Therefore, the solutions to the equations are x = 17 and x = -0.26315789474.
Let's solve these equations one by one:
1) 3(3x-1) + 5 = 8(x+2) + 3
Expand the expressions:
9x - 3 + 5 = 8x + 16 + 3
Combine like terms:
9x + 2 = 8x + 19
Subtract 8x from both sides:
x + 2 = 19
Subtract 2 from both sides:
x = 17
2) 4.5(x+3) - 1 = 7.2 - 5(x-2)
Expand the expressions:
4.5x + 13.5 - 1 = 7.2 - 5x + 10
Combine like terms:
4.5x + 12.5 = 7.2 - 5x + 10
Subtract 7.2 and 10 from both sides:
4.5x + 2.5 = -5x
Add 5x to both sides:
9.5x + 2.5 = 0
Subtract 2.5 from both sides:
9.5x = -2.5
Divide by 9.5:
x = -2.5/9.5 = -0.26315789474
Therefore, the solutions to the equations are x = 17 and x = -0.26315789474.