Solve : `5(2x-3)-3(3x-7)=5`

Answer

To solve the equation \(5(2x - 3) - 3(3x - 7) = 5\), we will follow these steps:

### Step 1: Distribute the terms
First, we will distribute the 5 and -3 across the terms inside the parentheses.

\[ 5(2x) - 5(3) - 3(3x) + 3(7) = 5 \]

This simplifies to:

\[ 10x - 15 - 9x + 21 = 5 \]

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

\[ (10x - 9x) + (-15 + 21) = 5 \]

This simplifies to:

\[ x + 6 = 5 \]

### Step 3: Isolate the variable
Now, we will isolate \(x\) by subtracting 6 from both sides of the equation.

\[ x + 6 - 6 = 5 - 6 \]

This simplifies to:

\[ x = -1 \]

### Final Answer
The solution to the equation is:

\[ x = -1 \]

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