Question

(X+6)/4 +( x-3)/5=(5x-4)/8​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

x = 8

Step-by-step explanation:

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

The LCM of 4,5,8 is 40

$\frac{10(x+6)}{40} + \frac{8(x-3)}{40} = \frac{5(5x-4)}{40}$

⇒ $\frac{10x + 60 + 8x - 24}{40} = \frac{25x - 20}{40}$

Since the denominators are equal, we can cancel them

⇒ ${10x + 60 + 8x - 24} = {25x - 20}$

⇒ $18x + 36 = 25x - 20$

⇒ $25x - 18x = 36+20$

⇒ $7x = 56$

⇒ $x = \frac{56}{7}$

∴ $x = 8$

Hope this helped!

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