Final answer:
The solution to the equation 2(x + 2) = 3(x - 1) is x = 7.
Step-by-step explanation:
To solve the equation 2(x + 2) = 3(x - 1), we can start by expanding the brackets:
2x + 4 = 3x - 3
Next, we can combine like terms by subtracting 2x from both sides:
4 = x - 3
Then, we can isolate x by adding 3 to both sides:
x = 7
Therefore, the solution to the equation is x = 7.