Answer
$\text{No solution}$
Work Step by Step
We start with the given equation: $4x-1=3(x+1)+x$
We apply the distributive property to expand the right side of the equation: $4x-1=3x+3+x$
We combine like terms: $4x-1=4x+3$
We subtract $4x$ from each side of the equation: $$4x-4x-1=4x-4x+3$$$$-1=3$$
Since $-1\neq3$, the equation has $\text{no solution}$.