Solve the equation, and check the solution. \[ 7 x=6 x+4 \]

Step 1 ：The given equation is \(7x = 6x + 4\).

Step 2 ：To solve for x, we need to isolate x on one side of the equation. We can do this by subtracting 6x from both sides of the equation. This will give us \(x = 4\).

Step 3 ：The solution to the equation is \(x = 4\). Now, we need to check the solution by substituting \(x = 4\) back into the original equation.

Step 4 ：The check confirms that this is the correct solution.

Step 5 ：Final Answer: The solution to the equation is \(\boxed{4}\).