Given
[tex]\frac{5}{3}x+4=\frac{2}{3}x[/tex]
Solution
Multiply all through by 3 to clear the fraction and then collect like terms
[tex]\begin{gathered} \:3\times\frac{5}{3}x+3\times4=3\times\frac{2}{3}x\: \\ \\ \:5x+12=2x\: \\ collect\text{ the like terms} \\ 5x-2x=-12 \\ 3x=-12 \\ divide\text{ both sides by 3} \\ \frac{3x}{3}=-\frac{12}{3} \\ \\ x=-4 \end{gathered}[/tex]
The final answer
Option D
[tex]x=-4[/tex]
