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correctly select the steps to solve the given equation

3x - 7 2x + 5 = 6 remember to include to optional first step

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To solve the equation \( 3x - 7 + 2x + 5 = 6 \), you can follow these steps:

Optional First Step: Simplify the Left Side (Combine Like Terms)

  1. Combine like terms on the left side: \[ (3x + 2x) + (-7 + 5) = 6 \] This simplifies to: \[ 5x - 2 = 6 \]

Step 2: Add 2 to Both Sides 2. Add 2 to both sides to isolate the term with \( x \): \[ 5x - 2 + 2 = 6 + 2 \] This simplifies to: \[ 5x = 8 \]

Step 3: Divide by 5 3. Divide both sides by 5 to solve for \( x \): \[ x = \frac{8}{5} \]

The solution to the equation \( 3x - 7 + 2x + 5 = 6 \) is: \[ x = \frac{8}{5} \]