in this equation i need to fine the solution of x.  the problem is 6/5+4/5x=41/20+7/4x+1/4
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6/5+4/5x=41/20+7/4x+1/4 the solution of x is?

(6/5) + (4/5x) = (41/20) + (7/4x) + (1/4)

group the term of x

(4/5x) - (7/4x) = (41/20) + (1/4) - (6/5)

the right side mulitply 20/20

(4/5x) - (7/4x) = (41/20) + (1/4) - (6/5)

(4/5x) - (7/4x) = (41/20) + (1/4) - (6/5)

Make all the Denamenator of the right side equal to 20

(4/5x) - (7/4x) = (41/20) + (1x5/4x5) - (6x4/5x4)

(4/5x) - (7/4x) = (41/20) + (5/20) - (24/20)

now you can add the right sode

(4/5x) - (7/4x) = (22/20)

do the same with the left side : make the denamenator the same

(4(4)/5x(4)) - (7(5)/4x(5)) = 22/20

(16/20x) - (35/20x) = 22/20

multiply the equation by 20x

16 - 35 = 22x

- 19 = 22x

x = - 19 / 22 ◄ Ans

 

by Level 3 User (2.7k points)
1/2=4/5x-1/4
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