It is known that the sum of the solutions of the equation 1 / 2 (1-x) = 1 + K and 3 / 4 (x-1) - 2 / 5 (3x + 2) = K / 10-3 / 2 (x-1) is 0 It is known that the sum of the solution of the equation 1 / 2 (1-x) = 1 + K and the solution of 3 / 4 (x-1) - 3 / 5 (3x + 2) = 1 / 10k-3 / 2 (x-1) about X is 0. To find the value of K, we need the whole analytical process of the equation | Math enthusiast | Mathematical art

It is known that the sum of the solutions of the equation 1 / 2 (1-x) = 1 + K and 3 / 4 (x-1) - 2 / 5 (3x + 2) = K / 10-3 / 2 (x-1) is 0 It is known that the sum of the solution of the equation 1 / 2 (1-x) = 1 + K and the solution of 3 / 4 (x-1) - 3 / 5 (3x + 2) = 1 / 10k-3 / 2 (x-1) about X is 0. To find the value of K, we need the whole analytical process of the equation

1/2（1-x)=1+k
（1-x)=2+2k
x=1-(2+2k)
x=-1-2k.(1)
3/4(x-1)-3/5(3x+2)=1/10k-3/2(x-1）
9/4(x-1)-3/5(3x+2)=1/10k
45 (x-1) - 8 (3x + 2) = 2K (multiply both sides by 20)
45x-45-24x-16=2k
21x=2k+61
x=1/21(2k+61).(2)
(1) + (2) = 0
1/21(2k+61）-1-2k=0
2K + 61-21-42k = 0 (multiply both sides by 21)
40-40k=0
k=1

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