To solve the equation \( 3x - 7 + 2x + 5 = 6 \), you can follow these steps:
Optional First Step: Simplify the Left Side (Combine Like Terms)
- 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: \[ x = \frac{8}{5} \]