Question

correctly select the steps to solve the given equation

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

Answer 1

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:
\[
x = \frac{8}{5}
\]