How can i solve this question pls helpp
Answers
Step-by-step explanation:
this could help you....
Step-by-step explanation:
The equation is \frac{x+6}{4}+\frac{x-3}{5}=\frac{5x-4}{8}
4
x+6
+
5
x−3
=
8
5x−4
TO FIND :
The solution of the given equation \frac{x+6}{4}+\frac{x-3}{5}=\frac{5x-4}{8}
4
x+6
+
5
x−3
=
8
5x−4
SOLUTION :
Given equation is \frac{x+6}{4}+\frac{x-3}{5}=\frac{5x-4}{8}
4
x+6
+
5
x−3
=
8
5x−4
\frac{5(x+6)+4(x-3)}{20}=\frac{5x-4}{8}
20
5(x+6)+4(x−3)
=
8
5x−4
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}
20
5(x)+5(6)+4(x)+4(−3)
=
8
5x−4
\frac{5x+30+4x-12}{20}=\frac{5x-4}{8}
20
5x+30+4x−12
=
8
5x−4
\frac{9x+18}{20}=\frac{5x-4}{8}
20
9x+18
=
8
5x−4
9x+18=\frac{5x-4}{8}\times 209x+18=
8
5x−4
×20
9x+18=\frac{5x-4}{2}\times 59x+18=
2
5x−4
×5
(9x+18)\times 2=(5x-4)\times 5(9x+18)×2=(5x−4)×5
By using the Distributive property :
a(x+y)=ax+ay
9x(2)+18(2)=5x(5)-4(5)9x(2)+18(2)=5x(5)−4(5)
18x+36=25x-2018x+36=25x−20
18x+36-25x+20=018x+36−25x+20=0
Adding the like terms we get,
-7x+56=0−7x+56=0
-7x=-56
x=\frac{-56}{-7}x=
−7
−56
x=8x=8
∴ the value of x in the given equation is 8.