Mathematics: What are two ways to solve this equation.

The answer is 20.Step-by-step explanation:...

What are two ways to solve this equation.

elviaortiz402373

30.01.2022

x = - $\frac{96}{23}$ or x= 4.1739

Step-by-step explanation:

$\frac{3x}{8}$ - $\frac{4x}{3}$ = 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 × $\frac{3x}{8}$ - 24× $\frac{4x}{3}$ = 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=- $\frac{96}{23}$ or x=4.1739

second method

$\frac{3x}{8}$ - $\frac{4x}{3}$ = 4

$\frac{9x - 32x}{24}$ = 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 = - $\frac{96}{23}$ or x= 4.1739

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