We are given the following expression to solve for x.
[tex]\frac{\mleft(2x-1\mright)}{3}=-4x[/tex]Multiply both sides of the equation by 3
[tex]\begin{gathered} \frac{3(2x-1)}{3}=3\times-4x \\ 2x-1=-12x \end{gathered}[/tex]Now combine the like terms (bring the term 12x to the left and the term 1 to the right)
When you move a term to either side of the equation then its sign gets reversed
[tex]\begin{gathered} 2x-1=-12x \\ 2x+12x=1 \\ 14x=1 \\ x=\frac{1}{14} \end{gathered}[/tex]Therefore, x is equal to 1/14
