Answer
$x=-\dfrac{7}{5}$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
\dfrac{2x+1}{3}-\dfrac{x-1}{4}=0
,$ is
\begin{array}{l}\require{cancel}
12\left( \dfrac{2x+1}{3}-\dfrac{x-1}{4}\right)=(0)12
\\\\
4(2x+1)-3(x-1)=0
\\\\
8x+4-3x+3=0
\\\\
8x-3x=-4-3
\\\\
5x=-7
\\\\
x=-\dfrac{7}{5}
.\end{array}
