1/4(x-3) + 5/6(2x+7) = -2/3(3x-1) - 4/5(5x+2)

(1/4)(x-3) + (5/6)(2x+7) = -(2/3)(3x-1) - (4/5)(5x+2)

x/4 - 3/4 + 10x/6 + 35/6 = -6x/6 + 2/3 - 20x/5 - 8/5

x/4 - 3/4 + 5x/3 + 35/6 = -x + 2/3 - 4x - 8/5

group number of the same term

x/4 + 5x/3 + x + 4x = 2/3 - 8/5 + 3/4 - 35/6

make the denamenator of left side equal

x(3)/4(3) + 5x(4)/3(4) = 2/3 - 8/5 + 3/4 - 35/6

3x/12 + 20x /12 = 2/3 - 8/5 + 3/4 - 35/6

Make the denamenator of the right side equal

3x/12 + 20x /12 = 2(20)/3(20) - 8(12)/5(12) + 3(15)/4(15) - 35(10)/6(10)

3x/12 + 20x /12 =40/60 - 96/60 + 45/60 - 350/60

now we can add the numerator

23x/12 = - 361/60

23x = 12 (- 361/60)

x = (12/23)(- 361/60)

x = - 361 /115

answered Nov 7, 2011 by E♥Lim Level 3 User (2.7k points)

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