To solve this equation, we will first distribute and simplify on both sides:
2(x+3) - 3(x+2) = 5 - 4(x+1)2x + 6 - 3x - 6 = 5 - 4x - 4
Now, we will combine like terms:
Next, we will move all terms involving x to one side of the equation:
4x - x = -33x = -3
Finally, we will solve for x by dividing by 3:
x = -1
Therefore, the solution to the equation 2(x+3) - 3(x+2) = 5 - 4(x+1) is x = -1.
To solve this equation, we will first distribute and simplify on both sides:
2(x+3) - 3(x+2) = 5 - 4(x+1)
x = 1 - 4x - 42x + 6 - 3x - 6 = 5 - 4x - 4
Now, we will combine like terms:
x = -3 - 4xNext, we will move all terms involving x to one side of the equation:
4x - x = -3
3x = -3
Finally, we will solve for x by dividing by 3:
x = -1
Therefore, the solution to the equation 2(x+3) - 3(x+2) = 5 - 4(x+1) is x = -1.