Algebra 1: Common Core (15th Edition)

$\text{No solution}$
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 $\text{no solution}$.