Solve: `3(x+2)-2(x-1)=7`.

Answer

To solve the equation \(3(x+2) - 2(x-1) = 7\), we will follow these steps:

### Step 1: Distribute the terms inside the brackets
We start by distributing the \(3\) and \(-2\) across their respective brackets.

\[ 3(x + 2) - 2(x - 1) = 3x + 6 - 2x + 2 \]

### Step 2: Combine like terms
Now, we will combine the like terms on the left side of the equation.

\[ 3x - 2x + 6 + 2 = 7 \]

This simplifies to:

\[ (3x - 2x) + (6 + 2) = 7 \]
\[ x + 8 = 7 \]

### Step 3: Isolate the variable
Next, we need to isolate \(x\) by subtracting \(8\) from both sides of the equation.

\[ x + 8 - 8 = 7 - 8 \]
\[ x = -1 \]

### Final Answer
The solution to the equation \(3(x + 2) - 2(x - 1) = 7\) is:

\[ \boxed{-1} \]

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