When Xiao Ming was doing his homework, he met 3x = 5x. He divided both sides of the equation by X to get 3 = 5. What's wrong with him?

When Xiao Ming was doing his homework, he met 3x = 5x. He divided both sides of the equation by X to get 3 = 5. What's wrong with him?

The premise of same division x is that x ≠ 0
This question x = 0

The solution equation: 3 / 5x + 1-6 / 2x-1 = 1

3／5x＋1 － 6／2x－1 ＝1
3(2x-1)-6(5x+1)=(2x-1)(5x+1)
6x-3-30x-6=10x²-3x-1
10x²+24x+8=0
5x²+12x+4=0
(5x+2)(x+2)=0
5x+2=0 x+2=0
∴x₁=-2/5
x₂=-2

The solution of equation 6 (2x + 1) = 8 (5x-10)

Solution 12x + 6 = 40x-80
86=28x
43=14x
x=43/14

6 / 2x-1 = 8 / 5x + 1 to solve equation in one variable

Remove the denominator and get 4 (2x-1) = 3 (5x + 1)
Remove the brackets and get 4x-4 = 15x + 3
By changing the term, we get 4x-15x = 4 + 3
By combining the terms of the same kind, we get - 11x = 7
When the coefficient is changed to 1, x = - 7 / 11