7/2x- 5/3= -2/3x-4 Simplify your answer as much as possible X= ?

Step 1
Given:
[tex]\frac{7}{2}x-\frac{5}{3}=-\frac{2}{3}x-4[/tex]Required: To find the value of x
Step 2
Bring like terms together.
[tex]\frac{7}{2}x+\frac{2}{3}x=\frac{5}{3}-4[/tex][tex]\frac{25}{6}x=-\frac{7}{3}[/tex][tex]\begin{gathered} \frac{6}{25}(\frac{25}{6})x=-\frac{7}{3}(\frac{6}{25}) \\ x=-\frac{42}{75} \\ x=-\frac{14}{25} \end{gathered}[/tex]Hence, x = -(14/25)