correctly select the steps to solve the given equation

Question

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: $$x=\frac{8}{5}$$