To solve the equation $4x + 7 = 6x + 4$, let's proceed step by step:

Step 1: Isolate $x$ on one side

Subtract $4x$ from both sides: $7 = 2x + 4$

Step 2: Simplify further

Subtract $4$ from both sides: $3 = 2x$

Step 3: Solve for $x$

Divide both sides by $2$: $x = \frac{3}{2}$

Final Answer:

$x = \frac{3}{2} \quad \text{or equivalently, } 1.5$

Would you like to see a graph or verify the solution further?

Related Questions:

1. How would you solve $5x + 2 = 3x + 8$?
2. What happens if the variable $x$ cancels out on both sides of the equation?
3. How can we verify the solution by substituting $x = \frac{3}{2}$ back into the original equation?
4. How would the solution change if the equation were $4x + 7 = 6x - 4$?
5. Can you explain how the distributive property might apply in solving equations?

Tip:

Always perform the same operation on both sides of the equation to maintain equality!