Answer:
x = 24
Step-by-step explanation:
Consider the given equation
[tex]\frac{4}{9}(\frac{3}{8}x-\frac{27}{16})=\frac{13}{4}[/tex]
We need to find the value of x.
Using distributive property we get
[tex]\frac{4}{9}(\frac{3}{8}x)+\frac{4}{9}((-\frac{27}{16})=\frac{13}{4}[/tex]
[tex]\frac{1}{6}x-\frac{3}{4}=\frac{13}{4}[/tex]
Add 3/4 on both sides.
[tex]\frac{x}{6}=\frac{13}{4}+\frac{3}{4}[/tex]
[tex]\frac{x}{6}=\frac{16}{4}[/tex]
[tex]\frac{x}{6}=4[/tex]
Multiply both sides by 6.
[tex]\frac{x}{6}\times 6=4\times 6[/tex]
[tex]x=24/tex]
Therefore, the value of x is 24.
