SOLUTION: (x+5)/30=(4x-10)/75 now sovle for x

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Question 1036964: (x+5)/30=(4x-10)/75
now sovle for x
Found 3 solutions by josgarithmetic, addingup, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
(x+5)/30 = (4x-10)/75
5(x+5)(150(4x-10))/75
5(x+5)(150(4x-10))/75
5(x+5)= 2(4x-10)
5x+25 =8x-20
(5x-8x)+25= (8x-8x)-20
-3x+25= (8x-8x)-20
25-3x= -20
(25-25)-3x= -20-25
-3x =-45
x= (-45)/(-3)
The gcd of -45 and -3 is -3, so (-45)/(-3) =(-3×15)/(-3×1) =(-3)/(-3)×15 =15 = 15
x15

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

(x+5)/30=(4x-10)/75
now sovle for x
%28x+%2B+5%29%2F30+=+%284x+-+10%29%2F75

30(4x - 10) = 75(x + 5) ------- Cross-multiplying

15(2)(4x - 10) = 15(5)(x + 5)

cross%2815%29%282%29%284x+-+10%29+=+cross%2815%29%285%29%28x+%2B+5%29

8x - 20 = 5x + 25

8x - 5x = 25 + 20

3x = 45

highlight_green%28matrix%281%2C3%2C+x+=+45%2F3%2C+or%2C+x+=+15%29%29