please help me solve this by using the method off adding the 21/4 to each side. i dont not yet want to use the lcm method.

Given:
The equation
[tex]-\frac{2}{3}x-\frac{21}{4}=\frac{27}{4}[/tex]Required:
Solve the two-step equation.
Explanation:
The calculation is as:
[tex]\begin{gathered} -\frac{2}{3}x-\frac{21}{4}=\frac{27}{4} \\ -\frac{2}{3}x=\frac{27}{4}+\frac{21}{4} \\ -\frac{2}{3}x=\frac{48}{4} \\ -\frac{2}{3}x=12 \\ -2x=36 \\ x=-18 \end{gathered}[/tex]Answer:
The value of x = -18.