Question

X+6/4 + x-3/5 = 5x-4/8
a) 8 b) -8 c) 4. d) none of these
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Answer 1

Answer:

option a : 8

Step-by-step explanation:

Answer 2

Answer:

X+6/4 + x-3/5 = 5x-4/8

a) 8$\sqrt{}$

b) -8

c) 4.

d) none of these

GIVEN :

The equation is \frac{x+6}{4}+\frac{x-3}{5}=\frac{5x-4}{8}

TO FIND :

The solution of the given equation \frac{x+6}{4}+\frac{x-3}{5}=\frac{5x-4}{8}

SOLUTION :

Given equation is \frac{x+6}{4}+\frac{x-3}{5}=\frac{5x-4}{8}

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

Now we have to find the solution for the given equation that is to find the value of x.

By using the Distributive property :

a(x+y)=ax+ay

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

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

\frac{9x+18}{20}=\frac{5x-4}{8}

9x+18=\frac{5x-4}{8}\times 20

9x+18=\frac{5x-4}{2}\times 5

(9x+18)\times 2=(5x-4)\times 5

By using the Distributive property :

a(x+y)=ax+ay

9x(2)+18(2)=5x(5)-4(5)

18x+36=25x-20

18x+36-25x+20=0

Adding the like terms we get,

-7x+56=0

-7x=-56

x=\frac{-56}{-7}

x=8

∴ the value of x in the given equation is 8