Can you anyone please help me?

Answer:
Well do you know the butterfly method
you multiply 2 by x+1 and 4 by x + 2
Step-by-step explanation:
2(x+1) + 4(x+2) = 3(x-3) -2(x - 1)
2x + 2 + 4x + 8 = 3x - 9 - 2x + 2
2x + 4x +8 = 3x - 2x -9 +2
6x + 8 = x -7
6x - x = -7 -8
5x = -15
x = -15/5
x = -3
Answer:
x = - [tex]\frac{29}{7}[/tex]
Step-by-step explanation:
[tex]\frac{x+1}{4}[/tex] + [tex]\frac{x+2}{2}[/tex] = [tex]\frac{x-3}{2}[/tex] - [tex]\frac{x-1}{3}[/tex]
Multiply through by 12 ( the LCM of 4, 2, 3 ) to clear the fractions
3(x + 1) + 6(x + 2) = 6(x - 3) - 4(x - 1) ← distribute parenthesis on both sides
3x + 3 + 6x + 12 = 6x - 18 - 4x + 4 , that is
9x + 15 = 2x - 14 ( subtract 2x from both sides )
7x + 15 = - 14 ( subtract 15 from both sides )
7x = - 29 ( divide both sides by 7 )
x = - [tex]\frac{29}{7}[/tex]