Let's solve each equation:
1) 3(x-1)=2(x+2)Distribute on both sides:3x - 3 = 2x + 4Subtract 2x from both sides:x - 3 = 4Add 3 to both sides:x = 7
Therefore, the solution to the first equation is x = 7.
2) 3(x-5) - 2(x+4) = -5x + 1Distribute on both sides:3x - 15 - 2x - 8 = -5x + 1Combine like terms:x - 23 = -5x + 1Add 5x to both sides:6x - 23 = 1Add 23 to both sides:6x = 24Divide by 6:x = 4
Therefore, the solution to the second equation is x = 4.
Let's solve each equation:
1) 3(x-1)=2(x+2)
Distribute on both sides:
3x - 3 = 2x + 4
Subtract 2x from both sides:
x - 3 = 4
Add 3 to both sides:
x = 7
Therefore, the solution to the first equation is x = 7.
2) 3(x-5) - 2(x+4) = -5x + 1
Distribute on both sides:
3x - 15 - 2x - 8 = -5x + 1
Combine like terms:
x - 23 = -5x + 1
Add 5x to both sides:
6x - 23 = 1
Add 23 to both sides:
6x = 24
Divide by 6:
x = 4
Therefore, the solution to the second equation is x = 4.