Solving the Equation: 3x + 4 = 4x + 1 + 2
To solve the equation 3x + 4 = 4x + 1 + 2, follow these steps:
-
First, simplify the right side of the equation:
4x + 1 + 2 = 4x + 3
-
Now, your equation looks like this:
3x + 4 = 4x + 3
-
Next, to isolate the variable x, subtract 3x from both sides:
4 = 4x – 3x + 3
-
This simplifies to:
4 = x + 3
-
Now, subtract 3 from both sides to solve for x:
4 – 3 = x
This gives us:
x = 1
Conclusion
The solution to the equation 3x + 4 = 4x + 1 + 2 is x = 1.