To solve the equation 3x + 4 = 4x + 1 + 2, we first simplify the right side. Combine the constants:
1 + 2 = 3, so we can rewrite the equation as:
3x + 4 = 4x + 3
Next, we’ll get all the terms involving x on one side and the constant terms on the other side. We can do this by subtracting 4x from both sides:
3x – 4x + 4 = 3
This simplifies to:
-x + 4 = 3
Now, we’ll isolate -x by subtracting 4 from both sides:
-x = 3 – 4
Which simplifies to:
-x = -1
Finally, we multiply by -1 to solve for x:
x = 1
So the solution to the equation is x = 1.