SOLUTION: If a is a solution of the equation: 7/4+(1/5)x-3/2=(4/5)x, then 12a+5= A) 5/3 B) 65/12 C) 39/5 D) 10 E)-25/16

SOLUTION: If a is a solution of the equation: 7/4+(1/5)x-3/2=(4/5)x, then 12a+5= A) 5/3 B) 65/12 C) 39/5 D) 10 E)-25/16

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Question 1006091: If a is a solution of the equation:
7/4+(1/5)x-3/2=(4/5)x, then 12a+5=
A) 5/3
B) 65/12
C) 39/5
D) 10
E)-25/16

Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Let us solve this first, then plug in to 12a + 5...
7/4+(1/5)x-3/2=(4/5)x
7/4 - 3/2 = (3/5)x
7/4 - 6/4 = (3/5)x
1/4 = (3/5)x
Multiply both sides by 5/3...
x = 5/12
And now
12(5/12) + 5 = 5 + 5 = 10
Choice D.
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