Answer:
x = - [tex]\frac{96}{23}[/tex] or x= 4.1739
Step-by-step explanation:
[tex]\frac{3x}{8}[/tex] - [tex]\frac{4x}{3}[/tex] = 4
I will show two methods of solving this equation
First method
We will follow the steps below:
First find the LCM of 8 and 3
The LCM of 8 and 3 is 24
Next is to multiply through by 24
Our equation becomes
24 ×[tex]\frac{3x}{8}[/tex] - 24× [tex]\frac{4x}{3}[/tex] = 24× 4
3×3x - 8×4x =24×4
9x - 32x = 96
-23x = 96
Divide both-side of the equation by - 23
-23x/-23= 96/-23
x=-[tex]\frac{96}{23}[/tex] or x=4.1739
second method
[tex]\frac{3x}{8}[/tex] - [tex]\frac{4x}{3}[/tex] = 4
[tex]\frac{9x - 32x}{24}[/tex] = 4
multiply both-side of the equation by 24 or cross multiply
9x - 32x = 96
-23x = 96
divide both-side of the equation by -23
x = - [tex]\frac{96}{23}[/tex] or x= 4.1739
