3/4(2x-5)-5/6(7-5x)=7x/3
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Given: The expression 3/4 ( 2x - 5 ) - 5/6 ( 7 - 5x ) = 7x / 3
To find: Value of x?
Solution:
- We have given the term 3/4 ( 2x - 5 ) - 5/6 ( 7 - 5x ) = 7x / 3
- Lets consider LHS, that is 3/4(2x-5)-5/6(7-5x)
- Solving LHS, we get:
3x / 2 - 15 / 4 - 35 / 6 + 25x / 6
34x / 6 - (15/4 + 35/6)
34x / 6 - 115 / 12
68x - 115 / 12
- Now equating this to RHS, we get:
68x - 115 / 12 = 7x / 3
68x - 115 / 4 = 7x
68x - 115 = 28x
40x = 115
x = 115/40
x = 23/8
Answer:
So the value of x is 23/8.
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