Question

X + 6 upon 4 minus x minus 3 upon 5 is equals to 5 x minus 4 upon 8​

Answer 1

Answer:

hope it is helpful

Answer 2

Answer:

The value of x =  $\frac{104}{23}$

Step-by-step explanation:

Given expression is

$\frac{x+6}{4} - \frac{x-3}{5} = \frac{5x-4}{8}$

To find,

The value of  'x'

Solution

Given, $\frac{x+6}{4} - \frac{x-3}{5} = \frac{5x-4}{8}$

Taking LCM on the left side we get,

LCM of 5 and 4 = 5×4 = 20, since 5 and 4 are coprime numbers

$\frac{5(x+6) - 4(x-3)}{20} = \frac{5x-4}{8}$

$\frac{5x+30 - 4x + 12}{20} = \frac{5x-4}{8}$

$\frac{x+42}{20} = \frac{5x-4}{8}$

Cross multiplying we get

8(x+42) = 20(5x-4)

2(x+42) = 5(5x-4)

2x+84 = 25x - 20

2x - 25x = -20 -84

-23x = -104

23x = 104

x = $\frac{104}{23}$

The value of x =  $\frac{104}{23}$

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