Answer:
Explanation:
To solve the equation 4x - 1 = 3(x + 1) + x, we will simplify and solve for x step by step:
1. Distribute the 3 to the terms inside the parentheses:
4x - 1 = 3x + 3 + x
2. Combine like terms on the right side of the equation:
4x - 1 = 4x + 3
3. Move the variable terms to one side of the equation by subtracting 4x from both sides:
4x - 4x - 1 = 4x - 4x + 3
This simplifies to:
-1 = 3
4. Since -1 is not equal to 3, we have arrived at a contradiction.
Therefore, there is no solution to the equation 4x - 1 = 3(x + 1) + x. The equation is inconsistent and does not have a valid solution.